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102221211102000 = 24353127134148571
BaseRepresentation
bin10111001111100000111010…
…111110011110101100110000
3111101221020210221212200121120
4113033200322332132230300
5101344243020020231000
61001223435345222240
730350144622035664
oct2717407276365460
9441836727780546
10102221211102000
112a630854847021
12b56b1a4931980
13450655a2848c3
141b357668488a4
15bc401ce6c6a0
hex5cf83af9eb30

102221211102000 has 160 divisors (see below), whose sum is σ = 332156157026304. Its totient is φ = 27044351712000.

The previous prime is 102221211101957. The next prime is 102221211102001. The reversal of 102221211102000 is 201112122201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (102221211102001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66312286 + ... + 67836285.

Almost surely, 2102221211102000 is an apocalyptic number.

102221211102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221211102000 is an abundant number, since it is smaller than the sum of its proper divisors (229934945924304).

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

102221211102000 is a wasteful number, since it uses less digits than its factorization.

102221211102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134148724 (or 134148708 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102221211102000 its reverse (201112122201), we get a palindrome (102422323224201).

The spelling of 102221211102000 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred eleven million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 127 150 200 240 250 254 300 375 381 400 500 508 600 635 750 762 1000 1016 1200 1270 1500 1524 1905 2000 2032 2540 3000 3048 3175 3810 5080 6000 6096 6350 7620 9525 10160 12700 15240 15875 19050 25400 30480 31750 38100 47625 50800 63500 76200 95250 127000 152400 190500 254000 381000 762000 134148571 268297142 402445713 536594284 670742855 804891426 1073188568 1341485710 1609782852 2012228565 2146377136 2682971420 3219565704 3353714275 4024457130 5365942840 6439131408 6707428550 8048914260 10061142825 10731885680 13414857100 16097828520 16768571375 17036868517 20122285650 26829714200 32195657040 33537142750 34073737034 40244571300 50305714125 51110605551 53659428400 67074285500 68147474068 80489142600 85184342585 100611428250 102221211102 134148571000 136294948136 160978285200 170368685170 201222856500 204442422204 255553027755 268297142000 272589896272 340737370340 402445713000 408884844408 425921712925 511106055510 681474740680 804891426000 817769688816 851843425850 1022212111020 1277765138775 1362949481360 1703686851700 2044424222040 2129608564625 2555530277550 3407373703400 4088848444080 4259217129250 5111060555100 6388825693875 6814747406800 8518434258500 10222121110200 12777651387750 17036868517000 20444242220400 25555302775500 34073737034000 51110605551000 102221211102000