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102001013011110 = 235139293444718773
BaseRepresentation
bin10111001100010011110110…
…001001011011001010100110
3111101011012102222022200020210
4113030103312021123022212
5101332141033312323420
61000534341332040250
730325221122121423
oct2714236611331246
9441135388280223
10102001013011110
112a556428758224
12b534590a63086
1344bb867521775
141b28c38038d4a
15bbd43169d9e0
hex5cc4f625b2a6

102001013011110 has 128 divisors (see below), whose sum is σ = 247473929687040. Its totient is φ = 26904933858816.

The previous prime is 102001013011109. The next prime is 102001013011123. The reversal of 102001013011110 is 11110310100201.

102001013011110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5433379684 + ... + 5433398456.

It is an arithmetic number, because the mean of its divisors is an integer number (1933390075680).

Almost surely, 2102001013011110 is an apocalyptic number.

102001013011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102001013011110 is an abundant number, since it is smaller than the sum of its proper divisors (145472916675930).

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

102001013011110 is a wasteful number, since it uses less digits than its factorization.

102001013011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23662.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 102001013011110 its reverse (11110310100201), we get a palindrome (113111323111311).

The spelling of 102001013011110 in words is "one hundred two trillion, one billion, thirteen million, eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 139 278 293 417 586 695 834 879 1390 1465 1758 2085 2930 4170 4395 4447 8790 8894 13341 18773 22235 26682 37546 40727 44470 56319 66705 81454 93865 112638 122181 133410 187730 203635 244362 281595 407270 563190 610905 618133 1221810 1236266 1302971 1854399 2605942 2609447 3090665 3708798 3908913 5218894 5500489 6181330 6514855 7817826 7828341 9271995 11000978 13029710 13047235 15656682 16501467 18543990 19544565 26094470 27502445 33002934 39089130 39141705 55004890 78283410 82507335 83483531 165014670 166967062 181112969 250450593 362225938 417417655 500901186 543338907 764567971 834835310 905564845 1086677814 1252252965 1529135942 1811129690 2293703913 2504505930 2716694535 3822839855 4587407826 5433389070 7645679710 11468519565 11604210809 22937039130 23208421618 24460674583 34812632427 48921349166 58021054045 69625264854 73382023749 116042108090 122303372915 146764047498 174063162135 244606745830 348126324270 366910118745 733820237490 3400033767037 6800067534074 10200101301111 17000168835185 20400202602222 34000337670370 51000506505555 102001013011110