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100111000001010 = 235371395711136339
BaseRepresentation
bin10110110000110011101000…
…100101111101100111110010
3111010110111222201101211011020
4112300303220211331213302
5101110204312000013020
6552530205234000310
730041531622446445
oct2660635045754762
9433414881354136
10100111000001010
11299979226808a9
12b28a223416096
1343b257188060b
141aa1580b4365c
15b891b4598c40
hex5b0ce897d9f2

100111000001010 has 128 divisors (see below), whose sum is σ = 248970821299200. Its totient is φ = 25742691959040.

The previous prime is 100111000000997. The next prime is 100111000001021. The reversal of 100111000001010 is 10100000111001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 100111000001010.

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, 87531421 + ... + 88667759.

It is an arithmetic number, because the mean of its divisors is an integer number (1945084541400).

Almost surely, 2100111000001010 is an apocalyptic number.

100111000001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111000001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124485410649600).

100111000001010 is an abundant number, since it is smaller than the sum of its proper divisors (148859821298190).

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

100111000001010 is a wasteful number, since it uses less digits than its factorization.

100111000001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137096.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100111000001010 its reverse (10100000111001), we get a palindrome (110211000112011).

The spelling of 100111000001010 in words is "one hundred trillion, one hundred eleven billion, one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 139 185 222 278 370 417 555 571 695 834 1110 1142 1390 1713 2085 2855 3426 4170 5143 5710 8565 10286 15429 17130 21127 25715 30858 42254 51430 63381 77145 79369 105635 126762 154290 158738 211270 238107 316905 396845 476214 633810 793690 1136339 1190535 2272678 2381070 2936653 3409017 5681695 5873306 6818034 8809959 11363390 14683265 17045085 17619918 29366530 34090170 42044543 44049795 84089086 88099590 126133629 157951121 210222715 252267258 315902242 420445430 473853363 630668145 648849569 789755605 947706726 1261336290 1297699138 1579511210 1946548707 2369266815 3244247845 3893097414 4738533630 5844191477 6488495690 9732743535 11688382954 17532574431 19465487070 24007434053 29220957385 35065148862 48014868106 58441914770 72022302159 87662872155 90190090091 120037170265 144044604318 175325744310 180380180182 240074340530 270570270273 360111510795 450950450455 541140540546 720223021590 901900900910 1352851351365 2705702702730 3337033333367 6674066666734 10011100000101 16685166666835 20022200000202 33370333333670 50055500000505 100111000001010