Search a number
-
+
23024321120430 = 2345712731974227
BaseRepresentation
bin1010011110000110001000…
…11110110100100010101110
310000112002210112012201020000
411033003010132310202232
511004212302201323210
6120545121015405130
74564311066262440
oct517030436644256
9100462715181200
1023024321120430
117377618036543
1226ba3266837a6
13cb02517c4156
145985512a0490
1529ddae89cac0
hex14f0c47b48ae

23024321120430 has 160 divisors (see below), whose sum is σ = 71311225430016. Its totient is φ = 5221263208896.

The previous prime is 23024321120351. The next prime is 23024321120453. The reversal of 23024321120430 is 3402112342032.

23024321120430 is a `hidden beast` number, since 2 + 3 + 0 + 243 + 211 + 204 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23024321120394 and 23024321120403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15267024 + ... + 16707203.

Almost surely, 223024321120430 is an apocalyptic number.

23024321120430 is an abundant number, since it is smaller than the sum of its proper divisors (48286904309586).

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

23024321120430 is a wasteful number, since it uses less digits than its factorization.

23024321120430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31974380 (or 31974371 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23024321120430 its reverse (3402112342032), we get a palindrome (26426433462462).

The spelling of 23024321120430 in words is "twenty-three trillion, twenty-four billion, three hundred twenty-one million, one hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 127 135 162 189 210 254 270 315 378 381 405 567 630 635 762 810 889 945 1134 1143 1270 1778 1890 1905 2286 2667 2835 3429 3810 4445 5334 5670 5715 6858 8001 8890 10287 11430 13335 16002 17145 20574 24003 26670 34290 40005 48006 51435 72009 80010 102870 120015 144018 240030 360045 720090 31974227 63948454 95922681 159871135 191845362 223819589 287768043 319742270 447639178 479613405 575536086 671458767 863304129 959226810 1119097945 1342917534 1438840215 1726608258 2014376301 2238195890 2589912387 2877680430 3357293835 4028752602 4060726829 4316520645 5179824774 6043128903 6714587670 8121453658 8633041290 10071881505 12086257806 12182180487 12949561935 18129386709 20143763010 20303634145 24364360974 25899123870 28425087803 30215644515 36258773418 36546541461 40607268290 56850175606 60431289030 60910902435 73093082922 85275263409 90646933545 109639624383 121821804870 142125439015 170550526818 181293867090 182732707305 219279248766 255825790227 284250878030 328918873149 365465414610 426376317045 511651580454 548198121915 657837746298 767477370681 852752634090 1096396243830 1279128951135 1534954741362 1644594365745 2302432112043 2558257902270 3289188731490 3837386853405 4604864224086 7674773706810 11512160560215 23024321120430