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10155311400 = 23352132100151
BaseRepresentation
bin10010111010100110…
…11100000100101000
3222012202000021022110
421131103130010220
5131244224431100
64355411322320
7506441502603
oct113523340450
928182007273
1010155311400
114341454843
121b74bb03a0
13c5ac28b00
146c4a3133a
153e683b250
hex25d4dc128

10155311400 has 144 divisors (see below), whose sum is σ = 34089737760. Its totient is φ = 2499744000.

The previous prime is 10155311389. The next prime is 10155311401. The reversal of 10155311400 is 411355101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10155311401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51325 + ... + 151475.

It is an arithmetic number, because the mean of its divisors is an integer number (236734290).

Almost surely, 210155311400 is an apocalyptic number.

10155311400 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 10155311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17044868880).

10155311400 is an abundant number, since it is smaller than the sum of its proper divisors (23934426360).

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

10155311400 is a wasteful number, since it uses less digits than its factorization.

10155311400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100196 (or 100174 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 10155311400 its reverse (411355101), we get a palindrome (10566666501).

The spelling of 10155311400 in words is "ten billion, one hundred fifty-five million, three hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 169 195 200 260 300 312 325 338 390 507 520 600 650 676 780 845 975 1014 1300 1352 1560 1690 1950 2028 2535 2600 3380 3900 4056 4225 5070 6760 7800 8450 10140 12675 16900 20280 25350 33800 50700 100151 101400 200302 300453 400604 500755 600906 801208 1001510 1201812 1301963 1502265 2003020 2403624 2503775 2603926 3004530 3905889 4006040 5007550 5207852 6009060 6509815 7511325 7811778 10015100 10415704 12018120 13019630 15022650 15623556 16925519 19529445 20030200 26039260 30045300 31247112 32549075 33851038 39058890 50776557 52078520 60090600 65098150 67702076 78117780 84627595 97647225 101553114 130196300 135404152 156235560 169255190 195294450 203106228 253882785 260392600 338510380 390588900 406212456 423137975 507765570 677020760 781177800 846275950 1015531140 1269413925 1692551900 2031062280 2538827850 3385103800 5077655700 10155311400