Search a number
-
+
100667152157055 = 351123312772050487
BaseRepresentation
bin10110111000111001100101…
…110110000100100101111111
3111012102200111220210121112220
4112320321211312010211333
5101143312311423011210
6554033503512500423
730126650605666641
oct2670714566044577
9435380456717486
10100667152157055
112a091777007230
12b359b756aa713
134422b4420c213
141ac045d792891
15b988b4c12c70
hex5b8e65d8497f

100667152157055 has 64 divisors (see below), whose sum is σ = 176602330764288. Its totient is φ = 48560757724160.

The previous prime is 100667152157041. The next prime is 100667152157057. The reversal of 100667152157055 is 550751251766001.

It is not a de Polignac number, because 100667152157055 - 234 = 100649972287871 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100667152156989 and 100667152157007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100667152157057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48069022 + ... + 50119508.

It is an arithmetic number, because the mean of its divisors is an integer number (2759411418192).

Almost surely, 2100667152157055 is an apocalyptic number.

100667152157055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

100667152157055 is a deficient number, since it is larger than the sum of its proper divisors (75935178607233).

100667152157055 is a wasteful number, since it uses less digits than its factorization.

100667152157055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052016.

The product of its (nonzero) digits is 2205000, while the sum is 51.

The spelling of 100667152157055 in words is "one hundred trillion, six hundred sixty-seven billion, one hundred fifty-two million, one hundred fifty-seven thousand, fifty-five".

Divisors: 1 3 5 11 15 33 55 165 233 699 1165 1277 2563 3495 3831 6385 7689 12815 14047 19155 38445 42141 70235 210705 297541 892623 1487705 2050487 3272951 4463115 6151461 9818853 10252435 16364755 22555357 30757305 49094265 67666071 112776785 338330355 477763471 1433290413 2388817355 2618471899 5255398181 7166452065 7855415697 13092359495 15766194543 26276990905 28803190889 39277078485 78830972715 86409572667 144015954445 432047863335 610103952467 1830311857401 3050519762335 6711143477137 9151559287005 20133430431411 33555717385685 100667152157055