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102230111023000 = 23534311051225683
BaseRepresentation
bin10111001111101001001101…
…011100111110111110011000
3111101222002210012122112001021
4113033221031130332332120
5101344414231410214000
61001231510433332224
730350611311105352
oct2717511534767630
9441862705575037
10102230111023000
112a6346015a2434
12b570a69407074
13450734809444c
141b35d6c84c0d2
15bc438e47b11a
hex5cfa4d73ef98

102230111023000 has 128 divisors (see below), whose sum is σ = 240002692899840. Its totient is φ = 40758169200000.

The previous prime is 102230111022989. The next prime is 102230111023003. The reversal of 102230111023000 is 320111032201.

It is a super-2 number, since 2×1022301110230002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102230111023003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 452868159 + ... + 453093841.

It is an arithmetic number, because the mean of its divisors is an integer number (1875021038280).

Almost surely, 2102230111023000 is an apocalyptic number.

102230111023000 is a gapful number since it is divisible by the number (10) 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 102230111023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120001346449920).

102230111023000 is an abundant number, since it is smaller than the sum of its proper divisors (137772581876840).

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

102230111023000 is a wasteful number, since it uses less digits than its factorization.

102230111023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227186 (or 227172 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102230111023000 its reverse (320111032201), we get a palindrome (102550222055201).

The spelling of 102230111023000 in words is "one hundred two trillion, two hundred thirty billion, one hundred eleven million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 431 500 862 1000 1051 1724 2102 2155 3448 4204 4310 5255 8408 8620 10510 10775 17240 21020 21550 26275 42040 43100 52550 53875 86200 105100 107750 131375 210200 215500 225683 262750 431000 451366 452981 525500 902732 905962 1051000 1128415 1805464 1811924 2256830 2264905 3623848 4513660 4529810 5642075 9027320 9059620 11284150 11324525 18119240 22568300 22649050 28210375 45136600 45298100 56420750 56622625 90596200 97269373 112841500 113245250 194538746 225683000 226490500 237192833 389077492 452981000 474385666 486346865 778154984 948771332 972693730 1185964165 1897542664 1945387460 2371928330 2431734325 3890774920 4743856660 4863468650 5929820825 9487713320 9726937300 11859641650 12158671625 19453874600 23719283300 24317343250 29649104125 47438566600 48634686500 59298208250 97269373000 102230111023 118596416500 204460222046 237192833000 408920444092 511150555115 817840888184 1022301110230 2044602220460 2555752775575 4089204440920 5111505551150 10223011102300 12778763877875 20446022204600 25557527755750 51115055511500 102230111023000