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102203200332222 = 231129106366077603
BaseRepresentation
bin10111001111010000001001…
…011100110110000110111110
3111101212112022202102210020020
4113033100021130312012332
5101343444123241112342
61001211300240033010
730345636403030053
oct2717201134660676
9441775282383206
10102203200332222
112a624152179120
12b5677b9002766
134504949a53292
141b3493881702a
15bc3816b880ec
hex5cf4097361be

102203200332222 has 128 divisors (see below), whose sum is σ = 230960396943360. Its totient is φ = 29866131872640.

The previous prime is 102203200332203. The next prime is 102203200332271. The reversal of 102203200332222 is 222233002302201.

It is a junction number, because it is equal to n+sod(n) for n = 102203200332192 and 102203200332201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13442479473 + ... + 13442487075.

It is an arithmetic number, because the mean of its divisors is an integer number (1804378101120).

Almost surely, 2102203200332222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102203200332222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115480198471680).

102203200332222 is an abundant number, since it is smaller than the sum of its proper divisors (128757196611138).

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

102203200332222 is a wasteful number, since it uses less digits than its factorization.

102203200332222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15318.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 102203200332222 its reverse (222233002302201), we get a palindrome (324436202634423).

The spelling of 102203200332222 in words is "one hundred two trillion, two hundred three billion, two hundred million, three hundred thirty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1063 1914 2126 3189 6378 6607 7603 11693 13214 15206 19821 22809 23386 30827 35079 39642 45618 61654 70158 72677 83633 92481 145354 167266 184962 191603 218031 220487 250899 339097 383206 436062 440974 501798 574809 661461 678194 1017291 1149618 1322922 2034582 2107633 2425357 4215266 4850714 6322899 7023241 7276071 8081989 12645798 14046482 14552142 16163978 21069723 24245967 42139446 48491934 50233021 77255651 88901879 100466042 150699063 154511302 177803758 203673989 231766953 234377681 266705637 301398126 407347978 463533906 468755362 533411274 552563231 611021967 703133043 1105126462 1222043934 1406266086 1456757609 1657689693 2240413879 2578154491 2913515218 3315379386 4370272827 4480827758 5156308982 6721241637 7734463473 8740545654 13442483274 15468926946 16024333699 32048667398 48073001097 53397701323 96146002194 106795402646 160193103969 320386207938 587374714553 1174749429106 1548533338367 1762124143659 3097066676734 3524248287318 4645600015101 9291200030202 17033866722037 34067733444074 51101600166111 102203200332222