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102001002012 = 2232713238913033
BaseRepresentation
bin101111011111110111…
…0111100011000011100
3100202021121212202222100
41132333232330120130
53132344224031022
6114505243245100
710240452132420
oct1367756743034
9322247782870
10102001002012
113a2929a7578
1217927b19790
139807247bc0
144d18adab80
1529bec491ac
hex17bfbbc61c

102001002012 has 144 divisors (see below), whose sum is σ = 317493641920. Its totient is φ = 26888039424.

The previous prime is 102001001911. The next prime is 102001002023. The reversal of 102001002012 is 210200100201.

It is a super-2 number, since 2×1020010020122 (a number of 23 digits) contains 22 as substring.

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 = 102001001985 and 102001002003.

It is a congruent number.

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, 7819848 + ... + 7832880.

Almost surely, 2102001002012 is an apocalyptic number.

102001002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102001002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158746820960).

102001002012 is an abundant number, since it is smaller than the sum of its proper divisors (215492639908).

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

102001002012 is a wasteful number, since it uses less digits than its factorization.

102001002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15452 (or 15447 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102001002012 its reverse (210200100201), we get a palindrome (312201102213).

It can be divided in two parts, 10200100201 and 2, that multiplied together give a palindrome (20400200402).

The spelling of 102001002012 in words is "one hundred two billion, one million, two thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 2389 3276 4778 7167 9556 13033 14334 16723 21501 26066 28668 31057 33446 39099 43002 50169 52132 62114 66892 78198 86004 91231 93171 100338 117297 124228 150507 156396 169429 182462 186342 200676 217399 234594 273693 279513 301014 338858 364924 372684 434798 469188 508287 547386 559026 602028 652197 677716 821079 869596 1016574 1094772 1118052 1186003 1304394 1524861 1642158 1956591 2033148 2372006 2608788 3049722 3284316 3558009 3913182 4744012 6099444 7116018 7826364 10674027 14232036 21348054 31135837 42696108 62271674 93407511 124543348 186815022 217950859 280222533 373630044 404765881 435901718 560445066 653852577 809531762 871803436 1120890132 1214297643 1307705154 1619063524 1961557731 2428595286 2615410308 2833361167 3642892929 3923115462 4857190572 5666722334 7285785858 7846230924 8500083501 11333444668 14571571716 17000167002 25500250503 34000334004 51000501006 102001002012