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100001010022100 = 225211477924484247
BaseRepresentation
bin10110101111001101001100…
…101011011111011011010100
3111010002000002022211222010122
4112233031030223133123110
5101101404032031201400
6552403455123011112
730030556152164135
oct2657151453373324
9433060068758118
10100001010022100
1129955210155790
12b270a47b09a98
1343a5093481a65
141a9a10900bc8c
15b863c82d0685
hex5af34cadf6d4

100001010022100 has 144 divisors (see below), whose sum is σ = 244826810081280. Its totient is φ = 35139789859200.

The previous prime is 100001010022031. The next prime is 100001010022127. The reversal of 100001010022100 is 1220010100001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8157824 + ... + 16326423.

It is an arithmetic number, because the mean of its divisors is an integer number (1700186181120).

Almost surely, 2100001010022100 is an apocalyptic number.

100001010022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001010022100 is an abundant number, since it is smaller than the sum of its proper divisors (144825800059180).

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

100001010022100 is a wasteful number, since it uses less digits than its factorization.

100001010022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24484398 (or 24484391 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100001010022100 its reverse (1220010100001), we get a palindrome (101221020122101).

The spelling of 100001010022100 in words is "one hundred trillion, one billion, ten million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 79 94 100 110 158 188 220 235 275 316 395 470 517 550 790 869 940 1034 1100 1175 1580 1738 1975 2068 2350 2585 3476 3713 3950 4345 4700 5170 7426 7900 8690 10340 12925 14852 17380 18565 21725 25850 37130 40843 43450 51700 74260 81686 86900 92825 163372 185650 204215 371300 408430 816860 1021075 2042150 4084300 24484247 48968494 97936988 122421235 244842470 269326717 489684940 538653434 612106175 1077306868 1150759609 1224212350 1346633585 1934255513 2301519218 2448424700 2693267170 3868511026 4603038436 5386534340 5753798045 6733167925 7737022052 9671277565 11507596090 12658355699 13466335850 19342555130 21276810643 23015192180 25316711398 26932671700 28768990225 38685110260 42553621286 48356387825 50633422796 57537980450 63291778495 85107242572 90910009111 96712775650 106384053215 115075960900 126583556990 181820018222 193425551300 212768106430 253167113980 316458892475 363640036444 425536212860 454550045555 531920266075 632917784950 909100091110 1000010100221 1063840532150 1265835569900 1818200182220 2000020200442 2127681064300 2272750227775 4000040400884 4545500455550 5000050501105 9091000911100 10000101002210 20000202004420 25000252505525 50000505011050 100001010022100