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1002101100210 = 232575407294181
BaseRepresentation
bin11101001010100011110…
…00010100111010110010
310112210121011000101010100
432211101320110322302
5112404300340201320
62044205304213230
7132253666544430
oct16452170247262
93483534011110
101002101100210
11356a96a45651
1214226976a216
13736616803c2
14367054dbd50
151b100e49790
hexe951e14eb2

1002101100210 has 96 divisors (see below), whose sum is σ = 2978232671232. Its totient is φ = 229008539520.

The previous prime is 1002101100193. The next prime is 1002101100241. The reversal of 1002101100210 is 120011012001.

It is a happy number.

1002101100210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1002101100192 and 1002101100201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3259320 + ... + 3553500.

It is an arithmetic number, because the mean of its divisors is an integer number (31023256992).

Almost surely, 21002101100210 is an apocalyptic number.

1002101100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002101100210 is an abundant number, since it is smaller than the sum of its proper divisors (1976131571022).

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

1002101100210 is a wasteful number, since it uses less digits than its factorization.

1002101100210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299608 (or 299605 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1002101100210 its reverse (120011012001), we get a palindrome (1122112112211).

The spelling of 1002101100210 in words is "one trillion, two billion, one hundred one million, one hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 5407 10814 16221 27035 32442 37849 48663 54070 75698 81105 97326 113547 162210 189245 227094 243315 294181 340641 378490 486630 567735 588362 681282 882543 1135470 1470905 1703205 1765086 2059267 2647629 2941810 3406410 4118534 4412715 5295258 6177801 8825430 10296335 12355602 13238145 18533403 20592670 26476290 30889005 37066806 61778010 92667015 185334030 1590636667 3181273334 4771910001 7953183335 9543820002 11134456669 14315730003 15906366670 22268913338 23859550005 28631460006 33403370007 47719100010 55672283345 66806740014 71578650015 100210110021 111344566690 143157300030 167016850035 200420220042 334033700070 501050550105 1002101100210