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21315326100 = 223521514191123
BaseRepresentation
bin10011110110011111…
…100001000010010100
32001000111112202110020
4103312133201002110
5322123210413400
613443033225140
71353133165605
oct236637410224
961014482406
1021315326100
119048a44a92
12416a5621b0
13201904a7c3
141062c75dac
1584b4872a0
hex4f67e1094

21315326100 has 144 divisors (see below), whose sum is σ = 62284346880. Its totient is φ = 5627952000.

The previous prime is 21315326099. The next prime is 21315326101. The reversal of 21315326100 is 162351312.

It is an interprime number because it is at equal distance from previous prime (21315326099) and next prime (21315326101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21315326101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18980139 + ... + 18981261.

Almost surely, 221315326100 is an apocalyptic number.

21315326100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21315326100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31142173440).

21315326100 is an abundant number, since it is smaller than the sum of its proper divisors (40969020780).

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

21315326100 is a wasteful number, since it uses less digits than its factorization.

21315326100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 21315326100 its reverse (162351312), we get a palindrome (21477677412).

The spelling of 21315326100 in words is "twenty-one billion, three hundred fifteen million, three hundred twenty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 151 300 302 419 453 604 755 838 906 1123 1257 1510 1676 1812 2095 2246 2265 2514 3020 3369 3775 4190 4492 4530 5028 5615 6285 6738 7550 8380 9060 10475 11230 11325 12570 13476 15100 16845 20950 22460 22650 25140 28075 31425 33690 41900 45300 56150 62850 63269 67380 84225 112300 125700 126538 168450 169573 189807 253076 316345 336900 339146 379614 470537 508719 632690 678292 759228 847865 941074 949035 1017438 1265380 1411611 1581725 1695730 1882148 1898070 2034876 2352685 2543595 2823222 3163450 3391460 3796140 4239325 4705370 4745175 5087190 5646444 6326900 7058055 8478650 9410740 9490350 10174380 11763425 12717975 14116110 16957300 18980700 23526850 25435950 28232220 35290275 47053700 50871900 70580550 71051087 141161100 142102174 213153261 284204348 355255435 426306522 710510870 852613044 1065766305 1421021740 1776277175 2131532610 3552554350 4263065220 5328831525 7105108700 10657663050 21315326100