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102223103012310 = 23573152081301501
BaseRepresentation
bin10111001111100010101011…
…101111100010110111010110
3111101221102200210211200122210
4113033202223233202313112
5101344310403332343220
61001224351211334250
730350242534023330
oct2717425357426726
9441842623750583
10102223103012310
112a631635777265
12b56b632451386
13450679c215267
141b358a5c08450
15bc40ce0cd6e0
hex5cf8abbe2dd6

102223103012310 has 128 divisors (see below), whose sum is σ = 289434510286848. Its totient is φ = 22611052800000.

The previous prime is 102223103012293. The next prime is 102223103012321. The reversal of 102223103012310 is 13210301322201.

It is a super-2 number, since 2×1022231030123102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338896560 + ... + 339198060.

It is an arithmetic number, because the mean of its divisors is an integer number (2261207111616).

Almost surely, 2102223103012310 is an apocalyptic number.

102223103012310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102223103012310 is an abundant number, since it is smaller than the sum of its proper divisors (187211407274538).

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

102223103012310 is a wasteful number, since it uses less digits than its factorization.

102223103012310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353630.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 102223103012310 its reverse (13210301322201), we get a palindrome (115433404334511).

The spelling of 102223103012310 in words is "one hundred two trillion, two hundred twenty-three billion, one hundred three million, twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 1085 1302 2170 3255 6510 52081 104162 156243 260405 301501 312486 364567 520810 603002 729134 781215 904503 1093701 1507505 1562430 1614511 1809006 1822835 2110507 2187402 3015010 3229022 3645670 4221014 4522515 4843533 5468505 6331521 8072555 9045030 9346531 9687066 10552535 10937010 11301577 12663042 16145110 18693062 21105070 22603154 24217665 28039593 31657605 33904731 46732655 48435330 56079186 56507885 63315210 65425717 67809462 93465310 113015770 130851434 140197965 169523655 196277151 280395930 327128585 339047310 392554302 654257170 981385755 1962771510 15702473581 31404947162 47107420743 78512367905 94214841486 109917315067 157024735810 219834630134 235537103715 329751945201 471074207430 486776681011 549586575335 659503890402 973553362022 1099173150670 1460330043033 1648759726005 2433883405055 2920660086066 3297519452010 3407436767077 4867766810110 6814873534154 7301650215165 10222310301231 14603300430330 17037183835385 20444620602462 34074367670770 51111551506155 102223103012310