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10122100211220 = 22351930728921939
BaseRepresentation
bin1001001101001011110000…
…1011111111111000010100
31022211122220120022122111120
42103102330023333320110
52311320030123224340
633310010104203540
72063204036123424
oct223227413777024
938748816278446
1010122100211220
113252838760998
121175892a695b0
135856824a590a
1426dcab378484
151284744a34d0
hex934bc2ffe14

10122100211220 has 96 divisors (see below), whose sum is σ = 29930737267200. Its totient is φ = 2548832552064.

The previous prime is 10122100211203. The next prime is 10122100211221. The reversal of 10122100211220 is 2211200122101.

It is a super-2 number, since 2×101221002112202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10122100211220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122100211221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14110990 + ... + 14810949.

It is an arithmetic number, because the mean of its divisors is an integer number (311778513200).

Almost surely, 210122100211220 is an apocalyptic number.

10122100211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122100211220 is an abundant number, since it is smaller than the sum of its proper divisors (19808637055980).

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

10122100211220 is a wasteful number, since it uses less digits than its factorization.

10122100211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28922277 (or 28922275 counting only the distinct ones).

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

Adding to 10122100211220 its reverse (2211200122101), we get a palindrome (12333300333321).

The spelling of 10122100211220 in words is "ten trillion, one hundred twenty-two billion, one hundred million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 307 380 570 614 921 1140 1228 1535 1842 3070 3684 4605 5833 6140 9210 11666 17499 18420 23332 29165 34998 58330 69996 87495 116660 174990 349980 28921939 57843878 86765817 115687756 144609695 173531634 289219390 347063268 433829085 549516841 578438780 867658170 1099033682 1648550523 1735316340 2198067364 2747584205 3297101046 5495168410 6594202092 8242752615 8879035273 10990336820 16485505230 17758070546 26637105819 32971010460 35516141092 44395176365 53274211638 88790352730 106548423276 133185529095 168701670187 177580705460 266371058190 337403340374 506105010561 532742116380 674806680748 843508350935 1012210021122 1687016701870 2024420042244 2530525052805 3374033403740 5061050105610 10122100211220