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210100012202112 = 2735917951807163
BaseRepresentation
bin101111110001010110111000…
…100110000011100010000000
31000112220100212002110120210120
4233301112320212003202000
5210014234311110431422
62022502340235100240
762153140106451234
oct5761267046034200
91015810762416716
10210100012202112
1160a42a0765705a
121b692958ba1680
139030466609b06
1439c4c7566c5c4
1519452b432c45c
hexbf15b8983880

210100012202112 has 128 divisors (see below), whose sum is σ = 570707718624000. Its totient is φ = 68461713982464.

The previous prime is 210100012202089. The next prime is 210100012202161. The reversal of 210100012202112 is 211202210001012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2101000122021122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210100012202091 and 210100012202100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21848158 + ... + 29959005.

It is an arithmetic number, because the mean of its divisors is an integer number (4458654051750).

Almost surely, 2210100012202112 is an apocalyptic number.

It is an amenable number.

210100012202112 is an abundant number, since it is smaller than the sum of its proper divisors (360607706421888).

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

210100012202112 is a wasteful number, since it uses less digits than its factorization.

210100012202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51807418 (or 51807406 counting only the distinct ones).

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

Adding to 210100012202112 its reverse (211202210001012), we get a palindrome (421302222203124).

The spelling of 210100012202112 in words is "two hundred ten trillion, one hundred billion, twelve million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 179 192 236 354 358 384 472 537 708 716 944 1074 1416 1432 1888 2148 2832 2864 3776 4296 5664 5728 7552 8592 10561 11328 11456 17184 21122 22656 22912 31683 34368 42244 63366 68736 84488 126732 168976 253464 337952 506928 675904 1013856 1351808 2027712 4055424 51807163 103614326 155421489 207228652 310842978 414457304 621685956 828914608 1243371912 1657829216 2486743824 3056622617 3315658432 4973487648 6113245234 6631316864 9169867851 9273482177 9946975296 12226490468 18339735702 18546964354 19893950592 24452980936 27820446531 36679471404 37093928708 48905961872 55640893062 73358942808 74187857416 97811923744 111281786124 146717885616 148375714832 195623847488 222563572248 293435771232 296751429664 391247694976 445127144496 547135448443 586871542464 593502859328 890254288992 1094270896886 1173743084928 1187005718656 1641406345329 1780508577984 2188541793772 3282812690658 3561017155968 4377083587544 6565625381316 8754167175088 13131250762632 17508334350176 26262501525264 35016668700352 52525003050528 70033337400704 105050006101056 210100012202112