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101001010009976 = 231931412272303089
BaseRepresentation
bin10110111101110000100001…
…010100101101011101111000
3111020121121021001020202222122
4112331300201110231131320
5101214300032030304401
6554451120133140412
730163040116632626
oct2675604124553570
9436547231222878
10101001010009976
112a20031907255a
12b3b2809a8a708
13444847b744c0b
141ad2691450516
15ba2404a4321b
hex5bdc2152d778

101001010009976 has 128 divisors (see below), whose sum is σ = 211722142464000. Its totient is φ = 44971017523200.

The previous prime is 101001010009967. The next prime is 101001010010027. The reversal of 101001010009976 is 679900010100101.

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, 42703040 + ... + 45006128.

It is an arithmetic number, because the mean of its divisors is an integer number (1654079238000).

Almost surely, 2101001010009976 is an apocalyptic number.

It is an amenable number.

101001010009976 is an abundant number, since it is smaller than the sum of its proper divisors (110721132454024).

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

101001010009976 is a wasteful number, since it uses less digits than its factorization.

101001010009976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303413 (or 2303409 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 35.

The spelling of 101001010009976 in words is "one hundred one trillion, one billion, ten million, nine thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 19 31 38 41 62 76 82 124 152 164 227 248 328 454 589 779 908 1178 1271 1558 1816 2356 2542 3116 4313 4712 5084 6232 7037 8626 9307 10168 14074 17252 18614 24149 28148 34504 37228 48298 56296 74456 96596 133703 176833 193192 267406 288517 353666 534812 577034 707332 1069624 1154068 1414664 2303089 2308136 4606178 5481823 9212356 10963646 18424712 21927292 43758691 43854584 71395759 87517382 94426649 142791518 175034764 188853298 285583036 350069528 377706596 522801203 571166072 755413192 1045602406 1356519421 1794106331 2091204812 2713038842 2927226119 3588212662 4182409624 5426077684 5854452238 7176425324 9933222857 10852155368 11708904476 14352850648 16206837293 19866445714 21434849323 23417808952 32413674586 39732891428 42869698646 55617296261 64827349172 79465782856 85739397292 111234592522 129654698344 171478794584 222469185044 307929908567 407262137137 444938370088 615859817134 664480329013 814524274274 1231719634268 1328960658026 1629048548548 2463439268536 2657921316052 3258097097096 5315842632104 12625126251247 25250252502494 50500505004988 101001010009976