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420121421010 = 23456157114891
BaseRepresentation
bin1100001110100010011…
…00000010010011010010
31111011101222120110120000
412013101030002103102
523340402040433020
6521000124030430
742232000105014
oct6072114022322
91434358513500
10420121421010
11152199653865
1269509992416
1330804219915
14164966541b4
15addd14b090
hex61d13024d2

420121421010 has 160 divisors (see below), whose sum is σ = 1150266896064. Its totient is φ = 109995408000.

The previous prime is 420121420981. The next prime is 420121421011. The reversal of 420121421010 is 10124121024.

420121421010 is a `hidden beast` number, since 420 + 1 + 2 + 142 + 101 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (420121421011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28205665 + ... + 28220555.

Almost surely, 2420121421010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420121421010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575133448032).

420121421010 is an abundant number, since it is smaller than the sum of its proper divisors (730145475054).

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

420121421010 is a wasteful number, since it uses less digits than its factorization.

420121421010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15542 (or 15533 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 420121421010 its reverse (10124121024), we get a palindrome (430245542034).

It can be divided in two parts, 4201214 and 21010, that added together give a palindrome (4222224).

The spelling of 420121421010 in words is "four hundred twenty billion, one hundred twenty-one million, four hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 81 90 122 135 162 183 270 305 366 405 549 571 610 810 915 1098 1142 1647 1713 1830 2745 2855 3294 3426 4941 5139 5490 5710 8235 8565 9882 10278 14891 15417 16470 17130 24705 25695 29782 30834 34831 44673 46251 49410 51390 69662 74455 77085 89346 92502 104493 134019 148910 154170 174155 208986 223365 231255 268038 313479 348310 402057 446730 462510 522465 626958 670095 804114 908351 940437 1044930 1206171 1340190 1567395 1816702 1880874 2010285 2412342 2725053 2821311 3134790 4020570 4541755 4702185 5450106 5642622 6030855 8175159 8502761 9083510 9404370 12061710 13625265 14106555 16350318 17005522 24525477 25508283 27250530 28213110 40875795 42513805 49050954 51016566 73576431 76524849 81751590 85027610 122627385 127541415 147152862 153049698 229574547 245254770 255082830 367882155 382624245 459149094 518668421 688723641 735764310 765248490 1037336842 1147872735 1377447282 1556005263 2295745470 2593342105 3112010526 3443618205 4668015789 5186684210 6887236410 7780026315 9336031578 14004047367 15560052630 23340078945 28008094734 42012142101 46680157890 70020236835 84024284202 140040473670 210060710505 420121421010