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102211201220000 = 255429176226209
BaseRepresentation
bin10111001111010111100110…
…010101110011110110100000
3111101220021222100111222221012
4113033113212111303312200
5101344112020003020000
61001215102210520052
730346341564325355
oct2717274625636640
9441807870458835
10102211201220000
112a6275884a2574
12b569270596028
1345056235174c2
141b3509727262c
15bc3b342ab735
hex5cf5e6573da0

102211201220000 has 120 divisors (see below), whose sum is σ = 260125746318900. Its totient is φ = 39474670592000.

The previous prime is 102211201219999. The next prime is 102211201220027. The reversal of 102211201220000 is 22102112201.

It can be written as a sum of positive squares in 10 ways, for example, as 14846811160336 + 87364390059664 = 3853156^2 + 9346892^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87533105 + ... + 88693104.

Almost surely, 2102211201220000 is an apocalyptic number.

102211201220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211201220000 is an abundant number, since it is smaller than the sum of its proper divisors (157914545098900).

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

102211201220000 is an equidigital number, since it uses as much as digits as its factorization.

102211201220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176226268 (or 176226245 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102211201220000 its reverse (22102112201), we get a palindrome (102233303332201).

The spelling of 102211201220000 in words is "one hundred two trillion, two hundred eleven billion, two hundred one million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 625 725 800 928 1000 1160 1250 1450 2000 2320 2500 2900 3625 4000 4640 5000 5800 7250 10000 11600 14500 18125 20000 23200 29000 36250 58000 72500 116000 145000 290000 580000 176226209 352452418 704904836 881131045 1409809672 1762262090 2819619344 3524524180 4405655225 5110560061 5639238688 7049048360 8811310450 10221120122 14098096720 17622620900 20442240244 22028276125 25552800305 28196193440 35245241800 40884480488 44056552250 51105600610 70490483600 81768960976 88113104500 102211201220 110141380625 127764001525 140980967200 163537921952 176226209000 204422402440 220282761250 255528003050 352452418000 408844804880 440565522500 511056006100 638820007625 704904836000 817689609760 881131045000 1022112012200 1277640015250 1762262090000 2044224024400 2555280030500 3194100038125 3524524180000 4088448048800 5110560061000 6388200076250 10221120122000 12776400152500 20442240244000 25552800305000 51105600610000 102211201220000