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210300021220120 = 235131925184802499
BaseRepresentation
bin101111110100010001001010…
…000011111010001100011000
31000120121111010001201102200021
4233310101022003322030120
5210031023420413020440
62023134255050320224
762203450400164636
oct5764211203721430
91016544101642607
10210300021220120
116100a813517657
121b705677729074
13904628c765890
1439d080aa1a356
15194a5bd48384a
hexbf444a0fa318

210300021220120 has 128 divisors (see below), whose sum is σ = 538529796000000. Its totient is φ = 73269358272000.

The previous prime is 210300021220117. The next prime is 210300021220151. The reversal of 210300021220120 is 21022120003012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 210300021220094 and 210300021220103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39921370 + ... + 44881129.

It is an arithmetic number, because the mean of its divisors is an integer number (4207264031250).

Almost surely, 2210300021220120 is an apocalyptic number.

210300021220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210300021220120 is an abundant number, since it is smaller than the sum of its proper divisors (328229774779880).

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

210300021220120 is a wasteful number, since it uses less digits than its factorization.

210300021220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84802793 (or 84802789 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 210300021220120 its reverse (21022120003012), we get a palindrome (231322141223132).

The spelling of 210300021220120 in words is "two hundred ten trillion, three hundred billion, twenty-one million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 251 260 380 494 502 520 760 988 1004 1235 1255 1976 2008 2470 2510 3263 4769 4940 5020 6526 9538 9880 10040 13052 16315 19076 23845 26104 32630 38152 47690 61997 65260 95380 123994 130520 190760 247988 309985 495976 619970 1239940 2479880 84802499 169604998 339209996 424012495 678419992 848024990 1102432487 1611247481 1696049980 2204864974 3222494962 3392099960 4409729948 5512162435 6444989924 8056237405 8819459896 11024324870 12889979848 16112474810 20946217253 21285427249 22048649740 32224949620 41892434506 42570854498 44097299480 64449899240 83784869012 85141708996 104731086265 106427136245 167569738024 170283417992 209462172530 212854272490 276710554237 404423117731 418924345060 425708544980 553421108474 808846235462 837848690120 851417089960 1106842216948 1383552771185 1617692470924 2022115588655 2213684433896 2767105542370 3235384941848 4044231177310 5257500530503 5534211084740 8088462354620 10515001061006 11068422169480 16176924709240 21030002122012 26287502652515 42060004244024 52575005305030 105150010610060 210300021220120