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101155001332 = 227111759327443
BaseRepresentation
bin101111000110101001…
…1101101001111110100
3100200002122222111012211
41132031103231033310
53124131140020312
6114245302423204
710210500216220
oct1361523551764
9320078874184
10101155001332
11399993a7760
1217730731b04
139700baa098
144c785d9780
1529708373a7
hex178d4ed3f4

101155001332 has 96 divisors (see below), whose sum is σ = 237645757440. Its totient is φ = 36463941120.

The previous prime is 101155001327. The next prime is 101155001393. The reversal of 101155001332 is 233100551101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145203 + ... + 472645.

It is an arithmetic number, because the mean of its divisors is an integer number (2475476640).

Almost surely, 2101155001332 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 101155001332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118822878720).

101155001332 is an abundant number, since it is smaller than the sum of its proper divisors (136490756108).

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

101155001332 is a wasteful number, since it uses less digits than its factorization.

101155001332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327541 (or 327539 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

Adding to 101155001332 its reverse (233100551101), we get a palindrome (334255552433).

The spelling of 101155001332 in words is "one hundred one billion, one hundred fifty-five million, one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 59 68 77 118 119 154 187 236 238 308 374 413 476 649 748 826 1003 1298 1309 1652 2006 2596 2618 4012 4543 5236 7021 9086 11033 14042 18172 22066 28084 44132 77231 154462 308924 327443 654886 1309772 2292101 3601873 4584202 5566531 7203746 9168404 11133062 14407492 19319137 22266124 25213111 38638274 38965717 50426222 61231841 77276548 77931434 100852444 122463682 135233959 155862868 212510507 244927364 270467918 328425329 425021014 428622887 540935836 656850658 850042028 857245774 1313701316 1487573549 1714491548 2298977303 2975147098 3612678619 4597954606 5950294196 7225357238 9195909212 14450714476 25288750333 50577500666 101155001332