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101331310433132 = 221317251456685973
BaseRepresentation
bin10111000010100100001000…
…110000110101001101101100
3111021210011211020202210012102
4113002210020300311031230
5101240203010432330012
6555302543353354232
730225642223125353
oct2702441060651554
9437704736683172
10101331310433132
112a31840504618a
12b44682aa08978
134470669c541a0
141b0466688099a
15baacd73c02c2
hex5c2908c3536c

101331310433132 has 48 divisors (see below), whose sum is σ = 203009702650272. Its totient is φ = 43841853312000.

The previous prime is 101331310433063. The next prime is 101331310433161. The reversal of 101331310433132 is 231334013133101.

It is a happy number.

It is a super-2 number, since 2×1013313104331322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101331310433095 and 101331310433104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228121103 + ... + 228564870.

It is an arithmetic number, because the mean of its divisors is an integer number (4229368805214).

Almost surely, 2101331310433132 is an apocalyptic number.

It is an amenable number.

101331310433132 is an abundant number, since it is smaller than the sum of its proper divisors (101678392217140).

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

101331310433132 is a wasteful number, since it uses less digits than its factorization.

101331310433132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456686258 (or 456686256 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 101331310433132 its reverse (231334013133101), we get a palindrome (332665323566233).

The spelling of 101331310433132 in words is "one hundred one trillion, three hundred thirty-one billion, three hundred ten million, four hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 13 17 26 34 52 68 221 251 442 502 884 1004 3263 4267 6526 8534 13052 17068 55471 110942 221884 456685973 913371946 1826743892 5936917649 7763661541 11873835298 15527323082 23747670596 31054646164 100927600033 114628179223 201855200066 229256358446 403710400132 458512716892 1490166329899 1948679046791 2980332659798 3897358093582 5960665319596 7794716187164 25332827608283 50665655216566 101331310433132