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30101110002100 = 225210115718982853
BaseRepresentation
bin1101101100000011101011…
…11110000001000110110100
310221120122020010000001100201
412312001311332001012310
512421134033130031400
6144004131541250244
76224506365256354
oct666016576010664
9127518203001321
1030101110002100
119655899953165
123461968a03984
1313a46a3bc2167
14760c899d0b64
15372eeb6c306a
hex1b6075f811b4

30101110002100 has 72 divisors (see below), whose sum is σ = 66386305488888. Its totient is φ = 11845299648000.

The previous prime is 30101110002079. The next prime is 30101110002109. The reversal of 30101110002100 is 120001110103.

It can be written as a sum of positive squares in 12 ways, for example, as 2432121344676 + 27668988657424 = 1559526^2 + 5260132^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30101110002109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7905727 + ... + 11077126.

It is an arithmetic number, because the mean of its divisors is an integer number (922032020679).

Almost surely, 230101110002100 is an apocalyptic number.

It is an amenable number.

30101110002100 is an abundant number, since it is smaller than the sum of its proper divisors (36285195486788).

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

30101110002100 is a wasteful number, since it uses less digits than its factorization.

30101110002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18983125 (or 18983118 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 30101110002100 its reverse (120001110103), we get a palindrome (30221111112203).

The spelling of 30101110002100 in words is "thirty trillion, one hundred one billion, one hundred ten million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 157 202 314 404 505 628 785 1010 1570 2020 2525 3140 3925 5050 7850 10100 15700 15857 31714 63428 79285 158570 317140 396425 792850 1585700 18982853 37965706 75931412 94914265 189828530 379657060 474571325 949142650 1898285300 1917268153 2980307921 3834536306 5960615842 7669072612 9586340765 11921231684 14901539605 19172681530 29803079210 38345363060 47931703825 59606158420 74507698025 95863407650 149015396050 191726815300 298030792100 301011100021 602022200042 1204044400084 1505055500105 3010111000210 6020222000420 7525277500525 15050555001050 30101110002100