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100010605505070 = 23513733512841781
BaseRepresentation
bin10110101111010110001000…
…100111010110101000101110
3111010002220212001110000012210
4112233112020213112220232
5101102033210002130240
6552412123215311250
730031346015352141
oct2657261047265056
9433086761400183
10100010605505070
112995929459a0a7
12b27288551b526
1343a5c62408930
141a9a779552058
15b8678a8d6780
hex5af5889d6a2e

100010605505070 has 64 divisors (see below), whose sum is σ = 262029894202944. Its totient is φ = 24280762383360.

The previous prime is 100010605505023. The next prime is 100010605505071. The reversal of 100010605505070 is 70505506010001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010605505071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1756392421 + ... + 1756449360.

It is an arithmetic number, because the mean of its divisors is an integer number (4094217096921).

Almost surely, 2100010605505070 is an apocalyptic number.

100010605505070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100010605505070 is an abundant number, since it is smaller than the sum of its proper divisors (162019288697874).

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

100010605505070 is a wasteful number, since it uses less digits than its factorization.

100010605505070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512841877.

The product of its (nonzero) digits is 5250, while the sum is 30.

The spelling of 100010605505070 in words is "one hundred trillion, ten billion, six hundred five million, five hundred five thousand, seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 73 78 130 146 195 219 365 390 438 730 949 1095 1898 2190 2847 4745 5694 9490 14235 28470 3512841781 7025683562 10538525343 17564208905 21077050686 35128417810 45666943153 52692626715 91333886306 105385253430 137000829459 228334715765 256437450013 274001658918 456669431530 512874900026 685004147295 769312350039 1282187250065 1370008294590 1538624700078 2564374500130 3333686850169 3846561750195 6667373700338 7693123500390 10001060550507 16668434250845 20002121101014 33336868501690 50005302752535 100010605505070