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1022220213102 = 232116797179357
BaseRepresentation
bin11101110000000010001…
…00101001101101101110
310121201112021200012112200
432320001010221231232
5113222001333304402
62101333530442330
7133565366306304
oct16700104515556
93551467605480
101022220213102
1136458072a980
121461435933a6
137551993122a
143769354c274
151b8cc39321c
hexee01129b6e

1022220213102 has 96 divisors (see below), whose sum is σ = 2454775300224. Its totient is φ = 304822267200.

The previous prime is 1022220213101. The next prime is 1022220213121. The reversal of 1022220213102 is 2013120222201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022220213101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12841608 + ... + 12920964.

It is an arithmetic number, because the mean of its divisors is an integer number (25570576044).

Almost surely, 21022220213102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022220213102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227387650112).

1022220213102 is an abundant number, since it is smaller than the sum of its proper divisors (1432555087122).

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

1022220213102 is a wasteful number, since it uses less digits than its factorization.

1022220213102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80414 (or 80411 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1022220213102 its reverse (2013120222201), we get a palindrome (3035340435303).

Subtracting 1022220213102 from its reverse (2013120222201), we obtain a palindrome (990900009099).

The spelling of 1022220213102 in words is "one trillion, twenty-two billion, two hundred twenty million, two hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 99 134 198 201 402 603 737 971 1206 1474 1942 2211 2913 4422 5826 6633 8739 10681 13266 17478 21362 32043 64086 65057 79357 96129 130114 158714 192258 195171 238071 390342 476142 585513 714213 715627 872927 1171026 1428426 1431254 1745854 2146881 2618781 4293762 5237562 5316919 6440643 7856343 10633838 12881286 15712686 15950757 31901514 47852271 58486109 77055647 95704542 116972218 154111294 175458327 231166941 350916654 462333882 526374981 693500823 847612117 1052749962 1387001646 1695224234 2542836351 5085672702 5162728349 7628509053 10325456698 15257018106 15488185047 30976370094 46464555141 56790011839 92929110282 113580023678 170370035517 340740071034 511110106551 1022220213102