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131032003211120 = 24511161387922627
BaseRepresentation
bin11101110010110001000100…
…000000010110111101110000
3122011221112111121010021200102
4131302301010000112331300
5114133312020310223440
61142403134332211532
736412515122234144
oct3562610400267560
9564845447107612
10131032003211120
11388293a68a7330
1212842a68909ba8
135816359c4592b
14244dda8b03224
15102369a732b15
hex772c44016f70

131032003211120 has 80 divisors (see below), whose sum is σ = 332347227666048. Its totient is φ = 47647654283520.

The previous prime is 131032003211093. The next prime is 131032003211149. The reversal of 131032003211120 is 21112300230131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131032003211092 and 131032003211101.

It is a congruent number.

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, 141559247 + ... + 142481873.

Almost surely, 2131032003211120 is an apocalyptic number.

131032003211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131032003211120 is an abundant number, since it is smaller than the sum of its proper divisors (201315224454928).

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

131032003211120 is a wasteful number, since it uses less digits than its factorization.

131032003211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084038 (or 1084032 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131032003211120 its reverse (21112300230131), we get a palindrome (152144303441251).

The spelling of 131032003211120 in words is "one hundred thirty-one trillion, thirty-two billion, three million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 161387 322774 645548 806935 922627 1291096 1613870 1775257 1845254 2582192 3227740 3550514 3690508 4613135 6455480 7101028 7381016 8876285 9226270 10148897 12910960 14202056 14762032 17752570 18452540 20297794 28404112 35505140 36905080 40595588 50744485 71010280 73810160 81191176 101488970 142020560 162382352 202977940 405955880 811911760 148900003649 297800007298 595600014596 744500018245 1191200029192 1489000036490 1637900040139 2382400058384 2978000072980 3275800080278 5956000145960 6551600160556 8189500200695 11912000291920 13103200321112 16379000401390 26206400642224 32758000802780 65516001605560 131032003211120