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100677042420 = 223541295313859
BaseRepresentation
bin101110111000011010…
…0011100000011110100
3100121212100121122211220
41131300310130003310
53122141310324140
6114130030230340
710162604512053
oct1356064340364
9317770548756
10100677042420
1139773625099
12176186553b0
139655b71466
144c30d4039a
1529438c4bd0
hex1770d1c0f4

100677042420 has 96 divisors (see below), whose sum is σ = 288889856640. Its totient is φ = 26181642240.

The previous prime is 100677042413. The next prime is 100677042503. The reversal of 100677042420 is 24240776001.

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, 7257451 + ... + 7271309.

It is an arithmetic number, because the mean of its divisors is an integer number (3009269340).

Almost surely, 2100677042420 is an apocalyptic number.

100677042420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100677042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144444928320).

100677042420 is an abundant number, since it is smaller than the sum of its proper divisors (188212814220).

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

100677042420 is a wasteful number, since it uses less digits than its factorization.

100677042420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16865 (or 16863 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 100677042420 in words is "one hundred billion, six hundred seventy-seven million, forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 2953 5906 8859 11812 13859 14765 17718 27718 29530 35436 41577 44295 55436 59060 69295 83154 88590 121073 138590 166308 177180 207885 242146 277180 363219 415770 484292 568219 605365 726438 831540 1136438 1210730 1452876 1704657 1816095 2272876 2421460 2841095 3409314 3632190 5682190 6818628 7264380 8523285 11364380 17046570 34093140 40925627 81851254 122776881 163702508 204628135 245553762 409256270 491107524 613884405 818512540 1227768810 1677950707 2455537620 3355901414 5033852121 6711802828 8389753535 10067704242 16779507070 20135408484 25169260605 33559014140 50338521210 100677042420