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102227622700 = 225272713471553
BaseRepresentation
bin101111100110100111…
…1011011101100101100
3100202212102022022010011
41133031033123230230
53133330232411300
6114543540423004
710246203312220
oct1371517335454
9322772268104
10102227622700
113a399911aa5
121798b9a7a64
139842192c98
144d3ac4c780
1529d4ab0eba
hex17cd3dbb2c

102227622700 has 144 divisors (see below), whose sum is σ = 255357656064. Its totient is φ = 34797081600.

The previous prime is 102227622683. The next prime is 102227622709. The reversal of 102227622700 is 7226722201.

It is not an unprimeable number, because it can be changed into a prime (102227622709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65825124 + ... + 65826676.

It is an arithmetic number, because the mean of its divisors is an integer number (1773317056).

Almost surely, 2102227622700 is an apocalyptic number.

102227622700 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 102227622700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127678828032).

102227622700 is an abundant number, since it is smaller than the sum of its proper divisors (153130033364).

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

102227622700 is a wasteful number, since it uses less digits than its factorization.

102227622700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The spelling of 102227622700 in words is "one hundred two billion, two hundred twenty-seven million, six hundred twenty-two thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 271 347 350 542 694 700 1084 1355 1388 1553 1735 1897 2429 2710 3106 3470 3794 4858 5420 6212 6775 6940 7588 7765 8675 9485 9716 10871 12145 13550 15530 17350 18970 21742 24290 27100 31060 34700 37940 38825 43484 47425 48580 54355 60725 77650 94037 94850 108710 121450 155300 188074 189700 217420 242900 271775 376148 420863 470185 538891 543550 658259 841726 940370 1077782 1087100 1316518 1683452 1880740 2104315 2155564 2350925 2633036 2694455 2946041 3291295 3772237 4208630 4701850 5388910 5892082 6582590 7544474 8417260 9403700 10521575 10777820 11784164 13165180 13472275 14730205 15088948 16456475 18861185 21043150 26944550 29460410 32912950 37722370 42086300 53889100 58920820 65825900 73651025 75444740 94305925 146039461 147302050 188611850 292078922 294604100 377223700 584157844 730197305 1022276227 1460394610 2044552454 2920789220 3650986525 4089104908 5111381135 7301973050 10222762270 14603946100 20445524540 25556905675 51113811350 102227622700