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101403104120 = 235195922310141
BaseRepresentation
bin101111001110000011…
…0001001001101111000
3100200201221211102020222
41132130012021031320
53130133143312440
6114330044235212
710216602110033
oct1363406111570
9320657742228
10101403104120
113a006454a8a
121779b83bb08
139740407076
144c9d54001a
1529874e42b5
hex179c189378

101403104120 has 128 divisors (see below), whose sum is σ = 245355264000. Its totient is φ = 37602040320.

The previous prime is 101403104119. The next prime is 101403104137. The reversal of 101403104120 is 21401304101.

It is a happy number.

It is a congruent number.

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, 9994250 + ... + 10004390.

It is an arithmetic number, because the mean of its divisors is an integer number (1916838000).

Almost surely, 2101403104120 is an apocalyptic number.

101403104120 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 101403104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122677632000).

101403104120 is an abundant number, since it is smaller than the sum of its proper divisors (143952159880).

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

101403104120 is a wasteful number, since it uses less digits than its factorization.

101403104120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10453 (or 10449 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 101403104120 its reverse (21401304101), we get a palindrome (122804408221).

The spelling of 101403104120 in words is "one hundred one billion, four hundred three million, one hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 59 76 95 118 152 190 223 236 295 380 446 472 590 760 892 1115 1121 1180 1784 2230 2242 2360 4237 4460 4484 5605 8474 8920 8968 10141 11210 13157 16948 20282 21185 22420 26314 33896 40564 42370 44840 50705 52628 65785 81128 84740 101410 105256 131570 169480 192679 202820 249983 263140 385358 405640 499966 526280 598319 770716 963395 999932 1196638 1249915 1541432 1926790 1999864 2261443 2393276 2499830 2991595 3853580 4522886 4786552 4999660 5983190 7707160 9045772 9999320 11307215 11368061 11966380 18091544 22614430 22736122 23932760 42967417 45228860 45472244 56840305 85934834 90457720 90944488 113680610 133425137 171869668 214837085 227361220 266850274 343739336 429674170 454722440 533700548 667125685 859348340 1067401096 1334251370 1718696680 2535077603 2668502740 5070155206 5337005480 10140310412 12675388015 20280620824 25350776030 50701552060 101403104120