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100161555400 = 23521743168351
BaseRepresentation
bin101110101001000011…
…0000000101111001000
3100120112102122012121001
41131102012000233020
53120112324233100
6114002533424344
710144045113334
oct1352206005710
9316472565531
10100161555400
1139529650065
12174b3a9b0b4
1395a312615a
144bc26b67c4
1529134ecd6a
hex1752180bc8

100161555400 has 96 divisors (see below), whose sum is σ = 247149895680. Its totient is φ = 37619840000.

The previous prime is 100161555397. The next prime is 100161555413. The reversal of 100161555400 is 4555161001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1431225 + ... + 1499575.

It is an arithmetic number, because the mean of its divisors is an integer number (2574478080).

Almost surely, 2100161555400 is an apocalyptic number.

100161555400 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 100161555400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123574947840).

100161555400 is an abundant number, since it is smaller than the sum of its proper divisors (146988340280).

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

100161555400 is a wasteful number, since it uses less digits than its factorization.

100161555400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68815 (or 68806 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

The spelling of 100161555400 in words is "one hundred billion, one hundred sixty-one million, five hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 431 680 850 862 1700 1724 2155 3400 3448 4310 7327 8620 10775 14654 17240 21550 29308 36635 43100 58616 68351 73270 86200 136702 146540 183175 273404 293080 341755 366350 546808 683510 732700 1161967 1367020 1465400 1708775 2323934 2734040 3417550 4647868 5809835 6835100 9295736 11619670 13670200 23239340 29049175 29459281 46478680 58098350 58918562 116196700 117837124 147296405 232393400 235674248 294592810 500807777 589185620 736482025 1001615554 1178371240 1472964050 2003231108 2504038885 2945928100 4006462216 5008077770 5891856200 10016155540 12520194425 20032311080 25040388850 50080777700 100161555400