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101101203132 = 2231723117118401
BaseRepresentation
bin101111000101000011…
…0011110111010111100
3100122221220202020221220
41132022012132322330
53124023402000012
6114240101353340
710206245022156
oct1361206367274
9318856666856
10101101203132
1139970aa2336
1217716708850
1396c29c1c27
144c713d3ad6
15296ac5c08c
hex178a19eebc

101101203132 has 96 divisors (see below), whose sum is σ = 260876173824. Its totient is φ = 30311424000.

The previous prime is 101101203121. The next prime is 101101203157. The reversal of 101101203132 is 231302101101.

It is a happy number.

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, 5485132 + ... + 5503532.

It is an arithmetic number, because the mean of its divisors is an integer number (2717460144).

Almost surely, 2101101203132 is an apocalyptic number.

101101203132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101203132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130438086912).

101101203132 is an abundant number, since it is smaller than the sum of its proper divisors (159774970692).

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

101101203132 is a wasteful number, since it uses less digits than its factorization.

101101203132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19619 (or 19617 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101101203132 its reverse (231302101101), we get a palindrome (332403304233).

The spelling of 101101203132 in words is "one hundred one billion, one hundred one million, two hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 782 1171 1173 1564 2342 2346 3513 4684 4692 7026 14052 18401 19907 26933 36802 39814 53866 55203 59721 73604 79628 80799 107732 110406 119442 161598 220812 238884 312817 323196 423223 457861 625634 846446 915722 938451 1251268 1269669 1373583 1692892 1831444 1876902 2539338 2747166 3753804 5078676 5494332 7194791 14389582 21547571 21584373 28779164 43095142 43168746 64642713 86190284 86337492 129285426 258570852 366308707 495594133 732617414 991188266 1098926121 1465234828 1486782399 1982376532 2197852242 2973564798 4395704484 5947129596 8425100261 16850200522 25275300783 33700401044 50550601566 101101203132