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210233232103132 = 22747733205968261
BaseRepresentation
bin101111110011010010111101…
…000111101001011011011100
31000120101002201102012202020201
4233303102331013221123130
5210023430124404300012
62023043451415553244
762165564322103150
oct5763227507513334
91016332642182221
10210233232103132
1160a9445a831507
121b6b473808b824
13903cba75ca504
1439cb4b2623060
1519489aebc0857
hexbf34bd1e96dc

210233232103132 has 96 divisors (see below), whose sum is σ = 435314878064640. Its totient is φ = 86970963755520.

The previous prime is 210233232103109. The next prime is 210233232103163. The reversal of 210233232103132 is 231301232332012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 210233232103132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3079809882 + ... + 3079878142.

It is an arithmetic number, because the mean of its divisors is an integer number (4534529979840).

Almost surely, 2210233232103132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210233232103132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217657439032320).

210233232103132 is an abundant number, since it is smaller than the sum of its proper divisors (225081645961508).

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

210233232103132 is a wasteful number, since it uses less digits than its factorization.

210233232103132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100451 (or 100449 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 210233232103132 its reverse (231301232332012), we get a palindrome (441534464435144).

The spelling of 210233232103132 in words is "two hundred ten trillion, two hundred thirty-three billion, two hundred thirty-two million, one hundred three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 47 73 94 146 188 292 329 511 658 1022 1316 2044 3431 6862 13724 24017 32059 48034 64118 68261 96068 128236 136522 224413 273044 448826 477827 897652 955654 1506773 1911308 2340307 3013546 3208267 4680614 4983053 6027092 6416534 9361228 9966106 10547411 12833068 16382149 19932212 21094822 22457869 32764298 34881371 42189644 44915738 65528596 69762742 89831476 109994429 139525484 219988858 234203491 439977716 468406982 769961003 936813964 1539922006 1639424437 2188379399 3079844012 3278848874 4376758798 6557697748 8753517596 15318655793 30637311586 61274623172 102853831753 159751696127 205707663506 319503392254 411415327012 639006784508 719976822271 1118261872889 1439953644542 2236523745778 2879907289084 4473047491556 7508329717969 15016659435938 30033318871876 52558308025783 105116616051566 210233232103132