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100010110000110 = 23582139929101693
BaseRepresentation
bin10110101111010101101011…
…000101001001101111101110
3111010002212120112001202012020
4112233111223011021233232
5101102031201130000420
6552412002115051010
730031330520546232
oct2657255305115756
9433085515052166
10100010110000110
112995905a922972
12b2727675a0a66
1343a5bb386882b
141a9a72d80a5c2
15b8675c15a340
hex5af56b149bee

100010110000110 has 64 divisors (see below), whose sum is σ = 240325001801280. Its totient is φ = 26635949634560.

The previous prime is 100010109999973. The next prime is 100010110000169. The reversal of 100010110000110 is 11000011010001.

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

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, 983400424 + ... + 983502116.

It is an arithmetic number, because the mean of its divisors is an integer number (3755078153145).

Almost surely, 2100010110000110 is an apocalyptic number.

100010110000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100010110000110 is an abundant number, since it is smaller than the sum of its proper divisors (140314891801170).

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

100010110000110 is a wasteful number, since it uses less digits than its factorization.

100010110000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142453.

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

Adding to 100010110000110 its reverse (11000011010001), we get a palindrome (111010121010111).

The spelling of 100010110000110 in words is "one hundred trillion, ten billion, one hundred ten million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 821 1642 2463 4105 4926 8210 12315 24630 39929 79858 101693 119787 199645 203386 239574 305079 399290 508465 598935 610158 1016930 1197870 1525395 3050790 32781709 65563418 83489953 98345127 163908545 166979906 196690254 250469859 327817090 417449765 491725635 500939718 834899530 983451270 1252349295 2504698590 4060499797 8120999594 12181499391 20302498985 24362998782 40604997970 60907496955 121814993910 3333670333337 6667340666674 10001011000011 16668351666685 20002022000022 33336703333370 50005055000055 100010110000110