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1002121011210 = 23511101271110947
BaseRepresentation
bin11101001010100110001…
…00010010000000001010
310112210122112110221212210
432211103010102000022
5112404320434324320
62044211255045550
7132254331023124
oct16452304220012
93483575427783
101002121011210
11356aa7205020
121422743708b6
1373665832167
1436708002214
151b102a7e0e0
hexe95311200a

1002121011210 has 128 divisors (see below), whose sum is σ = 2659514093568. Its totient is φ = 239643360000.

The previous prime is 1002121011187. The next prime is 1002121011247. The reversal of 1002121011210 is 121101212001.

It is a super-2 number, since 2×10021210112102 (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, 8976957 + ... + 9087903.

It is an arithmetic number, because the mean of its divisors is an integer number (20777453856).

Almost surely, 21002121011210 is an apocalyptic number.

1002121011210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002121011210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329757046784).

1002121011210 is an abundant number, since it is smaller than the sum of its proper divisors (1657393082358).

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

1002121011210 is a wasteful number, since it uses less digits than its factorization.

1002121011210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111340.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1002121011210 its reverse (121101212001), we get a palindrome (1123222223211).

The spelling of 1002121011210 in words is "one trillion, two billion, one hundred twenty-one million, eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 271 303 330 505 542 606 813 1010 1111 1355 1515 1626 2222 2710 2981 3030 3333 4065 5555 5962 6666 8130 8943 11110 14905 16665 17886 27371 29810 33330 44715 54742 82113 89430 110947 136855 164226 221894 273710 301081 332841 410565 554735 602162 665682 821130 903243 1109470 1220417 1505405 1664205 1806486 2440834 3010810 3328410 3661251 4516215 6102085 7322502 9032430 11205647 12204170 18306255 22411294 30066637 33616941 36612510 56028235 60133274 67233882 90199911 112056470 123262117 150333185 168084705 180399822 246524234 300666370 330733007 336169410 369786351 450999555 616310585 661466014 739572702 901999110 992199021 1232621170 1653665035 1848931755 1984398042 3036730337 3307330070 3697863510 4960995105 6073460674 9110191011 9921990210 15183651685 18220382022 30367303370 33404033707 45550955055 66808067414 91101910110 100212101121 167020168535 200424202242 334040337070 501060505605 1002121011210