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132140403124100 = 2252735923965033
BaseRepresentation
bin11110000010111001010101…
…110010011110011110000100
3122022212111110220002211210022
4132002321111302132132010
5114304442021144432400
61145012244013114312
736555554242112000
oct3602712562363604
9568774426084708
10132140403124100
1139116480741268
12129a1841788998
135896a2c074ac7
14248b8b5a15700
15104241d876b85
hex782e55c9e784

132140403124100 has 144 divisors (see below), whose sum is σ = 334406909088000. Its totient is φ = 45303819644160.

The previous prime is 132140403124069. The next prime is 132140403124181. The reversal of 132140403124100 is 1421304041231.

It is a super-2 number, since 2×1321404031241002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132140403124100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2031865184 + ... + 2031930216.

It is an arithmetic number, because the mean of its divisors is an integer number (2322270202000).

Almost surely, 2132140403124100 is an apocalyptic number.

132140403124100 is a gapful number since it is divisible by the number (10) 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 132140403124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167203454544000).

132140403124100 is an abundant number, since it is smaller than the sum of its proper divisors (202266505963900).

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

132140403124100 is a wasteful number, since it uses less digits than its factorization.

132140403124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124307 (or 124286 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 132140403124100 its reverse (1421304041231), we get a palindrome (133561707165331).

The spelling of 132140403124100 in words is "one hundred thirty-two trillion, one hundred forty billion, four hundred three million, one hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 980 1225 1372 1715 2450 3430 4900 6860 8575 17150 34300 59239 65033 118478 130066 236956 260132 296195 325165 414673 455231 592390 650330 829346 910462 1184780 1300660 1480975 1625825 1658692 1820924 2073365 2276155 2902711 2961950 3186617 3251650 4146730 4552310 5805422 5923900 6373234 6503300 8293460 9104620 10366825 11380775 11610844 12746468 14513555 15933085 20318977 20733650 22306319 22761550 29027110 31866170 40637954 41467300 44612638 45523100 58054220 63732340 72567775 79665425 81275908 89225276 101594885 111531595 145135550 159330850 203189770 223063190 290271100 318661700 406379540 446126380 507974425 557657975 1015948850 1115315950 2031897700 2230631900 3852489887 7704979774 15409959548 19262449435 26967429209 38524898870 53934858418 77049797740 96312247175 107869716836 134837146045 188772004463 192624494350 269674292090 377544008926 385248988700 539348584180 674185730225 755088017852 943860022315 1321404031241 1348371460450 1887720044630 2642808062482 2696742920900 3775440089260 4719300111575 5285616124964 6607020156205 9438600223150 13214040312410 18877200446300 26428080624820 33035100781025 66070201562050 132140403124100