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10211220210100 = 22527131398072749
BaseRepresentation
bin1001010010010111110000…
…1001110100000110110100
31100011011221111022200000211
42110211330021310012310
52314300034333210400
633414545251115204
72102510361454150
oct224457411640664
940134844280024
1010211220210100
11328761066a128
12118b004ba2b04
13590bb5bb4270
14274323444060
1512a93d453dba
hex9497c2741b4

10211220210100 has 144 divisors (see below), whose sum is σ = 27468016240000. Its totient is φ = 3208432965120.

The previous prime is 10211220210073. The next prime is 10211220210109. The reversal of 10211220210100 is 101202211201.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211220210109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2771475 + ... + 5301274.

Almost surely, 210211220210100 is an apocalyptic number.

10211220210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211220210100 is an abundant number, since it is smaller than the sum of its proper divisors (17256796029900).

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

10211220210100 is a wasteful number, since it uses less digits than its factorization.

10211220210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8072922 (or 8072915 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10211220210100 its reverse (101202211201), we get a palindrome (10312422421301).

The spelling of 10211220210100 in words is "ten trillion, two hundred eleven billion, two hundred twenty million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 139 140 175 182 260 278 325 350 364 455 556 650 695 700 910 973 1300 1390 1807 1820 1946 2275 2780 3475 3614 3892 4550 4865 6950 7228 9035 9100 9730 12649 13900 18070 19460 24325 25298 36140 45175 48650 50596 63245 90350 97300 126490 180700 252980 316225 632450 1264900 8072749 16145498 32290996 40363745 56509243 80727490 104945737 113018486 161454980 201818725 209891474 226036972 282546215 403637450 419782948 524728685 565092430 734620159 807274900 1049457370 1122112111 1130184860 1412731075 1469240318 2098914740 2244224222 2623643425 2825462150 2938480636 3673100795 4488448444 5247286850 5610560555 5650924300 7346201590 7854784777 10494573700 11221121110 14587457443 14692403180 15709569554 18365503975 22442242220 28052802775 29174914886 31419139108 36731007950 39273923885 56105605550 58349829772 72937287215 73462015900 78547847770 102112202101 112211211100 145874574430 157095695540 196369619425 204224404202 291749148860 364686436075 392739238850 408448808404 510561010505 729372872150 785478477700 1021122021010 1458745744300 2042244042020 2552805052525 5105610105050 10211220210100