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102010303222002 = 232727911699125141
BaseRepresentation
bin10111001100011100011111…
…111000110001000011110010
3111101012002102102111021202200
4113030130133320301003302
5101332314100111101002
61000542515241324030
730326000260451400
oct2714343770610362
9441162372437680
10102010303222002
112a55a36584716a
12b536344196616
1344bc6b8152c86
141b29479bd6470
15bbd7c70a3b1c
hex5cc71fe310f2

102010303222002 has 144 divisors (see below), whose sum is σ = 260386463376000. Its totient is φ = 28774177024320.

The previous prime is 102010303221971. The next prime is 102010303222019. The reversal of 102010303222002 is 200222303010201.

102010303222002 is a `hidden beast` number, since 102 + 0 + 10 + 30 + 322 + 200 + 2 = 666.

It is a super-2 number, since 2×1020103032220022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 815100352 + ... + 815225492.

It is an arithmetic number, because the mean of its divisors is an integer number (1808239329000).

Almost surely, 2102010303222002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102010303222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130193231688000).

102010303222002 is an abundant number, since it is smaller than the sum of its proper divisors (158376160153998).

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

102010303222002 is a wasteful number, since it uses less digits than its factorization.

102010303222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136941 (or 136931 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102010303222002 its reverse (200222303010201), we get a palindrome (302232606232203).

The spelling of 102010303222002 in words is "one hundred two trillion, ten billion, three hundred three million, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 79 98 126 147 158 237 294 441 474 553 711 882 1106 1422 1659 3318 3871 4977 7742 9954 11613 11699 23226 23398 34839 35097 69678 70194 81893 105291 125141 163786 210582 245679 250282 375423 491358 573251 737037 750846 875987 924221 1126269 1146502 1474074 1719753 1751974 1848442 2252538 2627961 2772663 3439506 5159259 5255922 5545326 6131909 6469547 7883883 8317989 9886139 10318518 12263818 12939094 15767766 16635978 18395727 19408641 19772278 29658417 36791454 38817282 45286829 55187181 58225923 59316834 69202973 88975251 90573658 110374362 116451846 135860487 138405946 177950502 207608919 271720974 407581461 415217838 484420811 622826757 815162922 968841622 1245653514 1453262433 1464024559 2906524866 2928049118 4359787299 4392073677 8719574598 8784147354 10248171913 13176221031 20496343826 26352442062 30744515739 61489031478 71737203391 92233547217 115657940161 143474406782 184467094434 215211610173 231315880322 346973820483 430423220346 645634830519 693947640966 809605581127 1040921461449 1291269661038 1619211162254 2081842922898 2428816743381 4857633486762 5667239067889 7286450230143 11334478135778 14572900460286 17001717203667 34003434407334 51005151611001 102010303222002