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100620641420 = 225131737016151
BaseRepresentation
bin101110110110101110…
…1010010010010001100
3100121201102111012012222
41131231131102102030
53122032341011140
6114120253314512
710161321224465
oct1355535222214
9317642435188
10100620641420
11397448021a2
1217601795a38
1396472846a0
144c2765bd6c
15293d9835b5
hex176d75248c

100620641420 has 96 divisors (see below), whose sum is σ = 241047467136. Its totient is φ = 34951680000.

The previous prime is 100620641419. The next prime is 100620641507. The reversal of 100620641420 is 24146026001.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 100620641420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16355345 + ... + 16361495.

It is an arithmetic number, because the mean of its divisors is an integer number (2510911116).

Almost surely, 2100620641420 is an apocalyptic number.

100620641420 is a gapful number since it is divisible by the number (10) 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 100620641420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120523733568).

100620641420 is an abundant number, since it is smaller than the sum of its proper divisors (140426825716).

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

100620641420 is a wasteful number, since it uses less digits than its factorization.

100620641420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9891 (or 9889 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 100620641420 its reverse (24146026001), we get a palindrome (124766667421).

The spelling of 100620641420 in words is "one hundred billion, six hundred twenty million, six hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 3701 4420 6151 7402 12302 14804 18505 24604 30755 37010 48113 61510 62917 74020 79963 96226 104567 123020 125834 159926 192452 209134 240565 251668 314585 319852 399815 418268 481130 522835 629170 799630 817921 962260 1045670 1258340 1359371 1599260 1635842 2091340 2718742 3271684 4089605 5437484 6796855 8179210 13593710 16358420 22764851 27187420 45529702 91059404 113824255 227648510 295943063 387002467 455297020 591886126 774004934 1183772252 1479715315 1548009868 1935012335 2959430630 3870024670 5031032071 5918861260 7740049340 10062064142 20124128284 25155160355 50310320710 100620641420