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421124034100 = 2252711316317291
BaseRepresentation
bin1100010000011001111…
…00101100111000110100
31111020222212011111011011
412020030330230320310
523344430223042400
6521243421322004
742265563141160
oct6101474547064
91436885144134
10421124034100
111526635a1920
1269749706304
1330933b602c3
141654d881ca0
15ae4b1968ba
hex620cf2ce34

421124034100 has 144 divisors (see below), whose sum is σ = 1139758050816. Its totient is φ = 131210352000.

The previous prime is 421124034047. The next prime is 421124034103. The reversal of 421124034100 is 1430421124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421124034103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24346455 + ... + 24363745.

It is an arithmetic number, because the mean of its divisors is an integer number (7914986464).

Almost surely, 2421124034100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421124034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569879025408).

421124034100 is an abundant number, since it is smaller than the sum of its proper divisors (718634016716).

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

421124034100 is a wasteful number, since it uses less digits than its factorization.

421124034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20486 (or 20479 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 421124034100 its reverse (1430421124), we get a palindrome (422554455224).

The spelling of 421124034100 in words is "four hundred twenty-one billion, one hundred twenty-four million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3163 3850 6326 7700 12652 15815 17291 22141 31630 34582 34793 44282 63260 69164 69586 79075 86455 88564 110705 121037 139172 158150 172910 173965 190201 221410 242074 243551 316300 345820 347930 380402 432275 442820 484148 487102 553525 605185 695860 760804 864550 869825 951005 974204 1107050 1210370 1217755 1331407 1729100 1739650 1902010 2214100 2420740 2435510 2662814 3025925 3479300 3804020 4755025 4871020 5325628 6051850 6088775 6657035 9510050 12103700 12177550 13314070 19020100 24355100 26628140 33285175 54691433 66570350 109382866 133140700 218765732 273457165 382840031 546914330 601605763 765680062 1093828660 1203211526 1367285825 1531360124 1914200155 2406423052 2734571650 3008028815 3828400310 4211240341 5469143300 6016057630 7656800620 8422480682 9571000775 12032115260 15040144075 16844961364 19142001550 21056201705 30080288150 38284003100 42112403410 60160576300 84224806820 105281008525 210562017050 421124034100