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99963102420 = 22325718579127
BaseRepresentation
bin101110100011001000…
…0111110010011010100
3100120000121012202021200
41131012100332103110
53114211023234140
6113531124112500
710136115231246
oct1350620762324
9316017182250
1099963102420
1139437624435
1217459535730
139570c9105c
144ba41b8096
152900d9c030
hex174643e4d4

99963102420 has 144 divisors (see below), whose sum is σ = 307884665088. Its totient is φ = 26247836160.

The previous prime is 99963102419. The next prime is 99963102431. The reversal of 99963102420 is 2420136999.

It is a happy number.

99963102420 is a `hidden beast` number, since 9 + 9 + 9 + 631 + 0 + 2 + 4 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10947897 + ... + 10957023.

It is an arithmetic number, because the mean of its divisors is an integer number (2138087952).

Almost surely, 299963102420 is an apocalyptic number.

99963102420 is a gapful number since it is divisible by the number (90) 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 99963102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153942332544).

99963102420 is an abundant number, since it is smaller than the sum of its proper divisors (207921562668).

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

99963102420 is a wasteful number, since it uses less digits than its factorization.

99963102420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10070 (or 10065 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 99963102420 in words is "ninety-nine billion, nine hundred sixty-three million, one hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 71 90 142 180 213 284 355 426 639 710 852 857 1065 1278 1420 1714 2130 2556 2571 3195 3428 4260 4285 5142 6390 7713 8570 9127 10284 12780 12855 15426 17140 18254 25710 27381 30852 36508 38565 45635 51420 54762 60847 77130 82143 91270 109524 121694 136905 154260 164286 182540 182541 243388 273810 304235 328572 365082 410715 547620 547623 608470 648017 730164 821430 912705 1095246 1216940 1296034 1642860 1825410 1944051 2190492 2592068 2738115 3240085 3650820 3888102 5476230 5832153 6480170 7776204 7821839 9720255 10952460 11664306 12960340 15643678 19440510 23328612 23465517 29160765 31287356 38881020 39109195 46931034 58321530 70396551 78218390 93862068 116643060 117327585 140793102 156436780 234655170 281586204 351982755 469310340 555350569 703965510 1110701138 1407931020 1666051707 2221402276 2776752845 3332103414 4998155121 5553505690 6664206828 8330258535 9996310242 11107011380 16660517070 19992620484 24990775605 33321034140 49981551210 99963102420