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231542033103120 = 24354632857172931
BaseRepresentation
bin110100101001011000010100…
…101000100011100100010000
31010100211012110101122211110010
4310221120110220203210100
5220322041040433244440
62140240535213434520
766525234300066525
oct6451302450434420
91110735411584403
10231542033103120
116785a474442243
1221b7649249ba40
139c2742116187c
1441269a0c3d14c
151bb7e1644a580
hexd29614a23910

231542033103120 has 160 divisors (see below), whose sum is σ = 719365624510464. Its totient is φ = 61608183436800.

The previous prime is 231542033103077. The next prime is 231542033103133. The reversal of 231542033103120 is 21301330245132.

It is a super-2 number, since 2×2315420331031202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3174773055 + ... + 3174845985.

Almost surely, 2231542033103120 is an apocalyptic number.

231542033103120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231542033103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359682812255232).

231542033103120 is an abundant number, since it is smaller than the sum of its proper divisors (487823591407344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231542033103120 is a wasteful number, since it uses less digits than its factorization.

231542033103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101981 (or 101975 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 231542033103120 its reverse (21301330245132), we get a palindrome (252843363348252).

The spelling of 231542033103120 in words is "two hundred thirty-one trillion, five hundred forty-two billion, thirty-three million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 463 926 1389 1852 2315 2778 3704 4630 5556 6945 7408 9260 11112 13890 18520 22224 27780 28571 37040 55560 57142 72931 85713 111120 114284 142855 145862 171426 218793 228568 285710 291724 342852 364655 428565 437586 457136 571420 583448 685704 729310 857130 875172 1093965 1142840 1166896 1371408 1458620 1714260 1750344 2187930 2285680 2917240 3428520 3500688 4375860 5834480 6857040 8751720 13228373 17503440 26456746 33767053 39685119 52913492 66141865 67534106 79370238 101301159 105826984 132283730 135068212 158740476 168835265 198425595 202602318 211653968 264567460 270136424 317480952 337670530 396851190 405204636 506505795 529134920 540272848 634961904 675341060 793702380 810409272 1013011590 1058269840 1350682120 1587404760 1620818544 2026023180 2083711601 2701364240 3174809520 4052046360 4167423202 6251134803 8104092720 8334846404 10418558005 12502269606 16669692808 20837116010 25004539212 31255674015 33339385616 41674232020 50009078424 62511348030 83348464040 100018156848 125022696060 166696928080 250045392120 500090784240 964758471263 1929516942526 2894275413789 3859033885052 4823792356315 5788550827578 7718067770104 9647584712630 11577101655156 14471377068945 15436135540208 19295169425260 23154203310312 28942754137890 38590338850520 46308406620624 57885508275780 77180677701040 115771016551560 231542033103120