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10122200009152 = 267117128929829
BaseRepresentation
bin1001001101001100001000…
…1000101100100111000000
31022211200011112002220112021
42103103002020230213000
52311320231200243102
633310024031211224
72063206360314460
oct223230210544700
938750145086467
1010122200009152
11325288a024620
121175900376b14
1358569a07844a
1426dcba715ba0
1512847d118137
hex934c222c9c0

10122200009152 has 112 divisors (see below), whose sum is σ = 25395299089920. Its totient is φ = 3888168883200.

The previous prime is 10122200009143. The next prime is 10122200009153. The reversal of 10122200009152 is 25190000222101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122200009153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14115027 + ... + 14814802.

Almost surely, 210122200009152 is an apocalyptic number.

It is an amenable number.

10122200009152 is an abundant number, since it is smaller than the sum of its proper divisors (15273099080768).

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

10122200009152 is a wasteful number, since it uses less digits than its factorization.

10122200009152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28929930 (or 28929920 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The spelling of 10122200009152 in words is "ten trillion, one hundred twenty-two billion, two hundred million, nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 71 77 88 112 142 154 176 224 284 308 352 448 497 568 616 704 781 994 1136 1232 1562 1988 2272 2464 3124 3976 4544 4928 5467 6248 7952 10934 12496 15904 21868 24992 31808 43736 49984 87472 174944 349888 28929829 57859658 115719316 202508803 231438632 318228119 405017606 462877264 636456238 810035212 925754528 1272912476 1620070424 1851509056 2054017859 2227596833 2545824952 3240140848 4108035718 4455193666 5091649904 6480281696 8216071436 8910387332 10183299808 12960563392 14378125013 16432142872 17820774664 20366599616 22594196449 28756250026 32864285744 35641549328 45188392898 57512500052 65728571488 71283098656 90376785796 115025000104 131457142976 142566197312 158159375143 180753571592 230050000208 316318750286 361507143184 460100000416 632637500572 723014286368 920200000832 1265275001144 1446028572736 2530550002288 5061100004576 10122200009152