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10210100001010 = 2571343594422503
BaseRepresentation
bin1001010010010011100101…
…1000100011100011110010
31100011002001102110011001021
42110210321120203203302
52314240241100013020
633414242153130054
72102440540031350
oct224447130434362
940132042404037
1010210100001010
113287096301498
12118a9519b992a
13590a67aa8c50
142742587647d0
1512a8c4e2a1aa
hex949396238f2

10210100001010 has 128 divisors (see below), whose sum is σ = 23537627688960. Its totient is φ = 3102685883136.

The previous prime is 10210100000987. The next prime is 10210100001037. The reversal of 10210100001010 is 1010000101201.

It is a super-2 number, since 2×102101000010102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 10210100000984 and 10210100001002.

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, 97419 + ... + 4519921.

It is an arithmetic number, because the mean of its divisors is an integer number (183887716320).

Almost surely, 210210100001010 is an apocalyptic number.

10210100001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10210100001010 is an abundant number, since it is smaller than the sum of its proper divisors (13327527687950).

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

10210100001010 is a wasteful number, since it uses less digits than its factorization.

10210100001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4422632.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10210100001010 its reverse (1010000101201), we get a palindrome (11220100102211).

The spelling of 10210100001010 in words is "ten trillion, two hundred ten billion, one hundred million, one thousand, ten".

Divisors: 1 2 5 7 10 13 14 26 35 43 59 65 70 86 91 118 130 182 215 295 301 413 430 455 559 590 602 767 826 910 1118 1505 1534 2065 2537 2795 3010 3835 3913 4130 5074 5369 5590 7670 7826 10738 12685 17759 19565 25370 26845 32981 35518 39130 53690 65962 88795 164905 177590 230867 329810 461734 1154335 2308670 4422503 8845006 22112515 30957521 44225030 57492539 61915042 114985078 154787605 190167629 260927677 287462695 309575210 380335258 402447773 521855354 574925390 804895546 950838145 1304638385 1331173403 1826493739 1901676290 2012238865 2472179177 2609276770 2662346806 3392059801 3652987478 4024477730 4944358354 6655867015 6784119602 9132468695 11219890111 12360895885 13311734030 16960299005 17305254239 18264937390 22439780222 23744418607 24721791770 33920598010 34610508478 47488837214 56099450555 78539230777 86526271195 112198901110 118722093035 145858571443 157078461554 173052542390 237444186070 291717142886 392696153885 729292857215 785392307770 1021010000101 1458585714430 2042020000202 5105050000505 10210100001010