Search a number
-
+
131100332322120 = 23357311501838663
BaseRepresentation
bin11101110011110000101100…
…101111001110110101001000
3122012012001212120101202202020
4131303300230233032311020
5114140421440033301440
61142454354454204440
736420454310135250
oct3563605457166510
9565161776352666
10131100332322120
113885537a8a97a7
1212854158053720
13581c929167165
14245340b850960
1510253492e03d0
hex773c2cbced48

131100332322120 has 128 divisors (see below), whose sum is σ = 450932149923840. Its totient is φ = 29869437162240.

The previous prime is 131100332322079. The next prime is 131100332322121. The reversal of 131100332322120 is 21223233001131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (131100332322121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250658092 + ... + 251180571.

It is an arithmetic number, because the mean of its divisors is an integer number (3522907421280).

Almost surely, 2131100332322120 is an apocalyptic number.

131100332322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131100332322120 is an abundant number, since it is smaller than the sum of its proper divisors (319831817601720).

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

131100332322120 is a wasteful number, since it uses less digits than its factorization.

131100332322120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501838995 (or 501838991 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131100332322120 its reverse (21223233001131), we get a palindrome (152323565323251).

The spelling of 131100332322120 in words is "one hundred thirty-one trillion, one hundred billion, three hundred thirty-two million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 311 420 622 840 933 1244 1555 1866 2177 2488 3110 3732 4354 4665 6220 6531 7464 8708 9330 10885 12440 13062 17416 18660 21770 26124 32655 37320 43540 52248 65310 87080 130620 261240 501838663 1003677326 1505515989 2007354652 2509193315 3011031978 3512870641 4014709304 5018386630 6022063956 7025741282 7527579945 10036773260 10538611923 12044127912 14051482564 15055159890 17564353205 20073546520 21077223846 28102965128 30110319780 35128706410 42154447692 52693059615 60220639560 70257412820 84308895384 105386119230 140514825640 156071824193 210772238460 312143648386 421544476920 468215472579 624287296772 780359120965 936430945158 1092502769351 1248574593544 1560718241930 1872861890316 2185005538702 2341077362895 3121436483860 3277508308053 3745723780632 4370011077404 4682154725790 5462513846755 6242872967720 6555016616106 8740022154808 9364309451580 10925027693510 13110033232212 16387541540265 18728618903160 21850055387020 26220066464424 32775083080530 43700110774040 65550166161060 131100332322120