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1002021012210 = 2351271912715081
BaseRepresentation
bin11101001010011010001…
…10110100001011110010
310112210101120022111001010
432211031012310023302
5112404114334342320
62044153323451350
7132252005033631
oct16451506641362
93483346274033
101002021012210
11356a55814319
12142246986b56
137364abbbc5a
14366d8a11518
151b0e8dc9ae0
hexe94d1b42f2

1002021012210 has 128 divisors (see below), whose sum is σ = 2445948223488. Its totient is φ = 262688832000.

The previous prime is 1002021012131. The next prime is 1002021012227. The reversal of 1002021012210 is 122101202001.

1002021012210 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10020210122102 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197206870 + ... + 197211950.

It is an arithmetic number, because the mean of its divisors is an integer number (19108970496).

Almost surely, 21002021012210 is an apocalyptic number.

1002021012210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002021012210 is an abundant number, since it is smaller than the sum of its proper divisors (1443927211278).

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

1002021012210 is a wasteful number, since it uses less digits than its factorization.

1002021012210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5680.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1002021012210 its reverse (122101202001), we get a palindrome (1124122214211).

The spelling of 1002021012210 in words is "one trillion, two billion, twenty-one million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 127 191 254 271 381 382 542 573 635 762 813 955 1146 1270 1355 1626 1905 1910 2710 2865 3810 4065 5081 5730 8130 10162 15243 24257 25405 30486 34417 48514 50810 51761 68834 72771 76215 103251 103522 121285 145542 152430 155283 172085 206502 242570 258805 310566 344170 363855 516255 517610 645287 727710 776415 970471 1032510 1290574 1376951 1552830 1935861 1940942 2753902 2911413 3226435 3871722 4130853 4852355 5822826 6452870 6573647 6884755 8261706 9679305 9704710 13147294 13769510 14557065 19358610 19720941 20654265 29114130 32868235 39441882 41308530 65736470 98604705 123249817 174872777 197209410 246499634 262997641 349745554 369749451 524618331 525995282 616249085 739498902 788992923 874363885 1049236662 1232498170 1314988205 1577985846 1748727770 1848747255 2623091655 2629976410 3697494510 3944964615 5246183310 7889929230 33400700407 66801400814 100202101221 167003502035 200404202442 334007004070 501010506105 1002021012210