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10199195929923 = 37111323971152077
BaseRepresentation
bin1001010001101010111101…
…1100110100110101000011
31100010000220111111221112120
42110122233130310311003
52314100423124224143
633405240153055323
72101603403663550
oct224325734646503
940100814457476
1010199195929923
1132825002344a0
12118880a0b7543
1358ca1a9cb090
14273902505a27
1512a4879d9383
hex946af734d43

10199195929923 has 128 divisors (see below), whose sum is σ = 19072303939584. Its totient is φ = 4673234649600.

The previous prime is 10199195929907. The next prime is 10199195929931. The reversal of 10199195929923 is 32992959199101.

It is a Cunningham number, because it is equal to 31936182-1.

It is not a de Polignac number, because 10199195929923 - 24 = 10199195929907 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (10199195929423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66989961 + ... + 67142037.

It is an arithmetic number, because the mean of its divisors is an integer number (149002374528).

Almost surely, 210199195929923 is an apocalyptic number.

10199195929923 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10199195929923 is a deficient number, since it is larger than the sum of its proper divisors (8873108009661).

10199195929923 is a wasteful number, since it uses less digits than its factorization.

10199195929923 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153105.

The product of its (nonzero) digits is 31886460, while the sum is 69.

The spelling of 10199195929923 in words is "ten trillion, one hundred ninety-nine billion, one hundred ninety-five million, nine hundred twenty-nine thousand, nine hundred twenty-three".

Divisors: 1 3 7 11 13 21 23 33 39 69 77 91 143 161 231 253 273 299 429 483 759 897 971 1001 1771 2093 2913 3003 3289 5313 6279 6797 9867 10681 12623 20391 22333 23023 32043 37869 66999 69069 74767 88361 138853 152077 156331 224301 245663 265083 290329 416559 456231 468993 736989 870987 971971 1064539 1672847 1719641 1977001 2032303 2915913 3193617 3193619 3497771 5018541 5158923 5931003 6096909 9580857 10493313 11709929 13839007 21747011 22355333 24484397 35129787 38475481 41517021 45471023 65241033 67065999 73453191 115426443 136413069 147666767 152229077 269328367 318297161 443000301 456687231 500181253 807985101 954891483 1033667369 1500543759 1624334437 1919667971 3101002107 3396335641 3501268771 4873003311 5759003913 10189006923 10503806313 11370341059 13437675797 21116347681 23774349487 34111023177 37359692051 40313027391 44152363333 63349043043 71323048461 112079076153 132457089999 147814433767 261517844357 309066543331 443443301301 485675996663 784553533071 927199629993 1457027989989 3399731976641 10199195929923