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1120002102100 = 2252719315835237
BaseRepresentation
bin10000010011000101010…
…100111101001101010100
310222001220212112211112001
4100103011110331031110
5121322231014231400
62214304420005044
7143626460535010
oct20230524751524
93861825484461
101120002102100
113a1a98a96392
12161092530784
1381800a3a94b
143c2cbb79540
151e2019d4a6a
hex104c553d354

1120002102100 has 144 divisors (see below), whose sum is σ = 2794294153728. Its totient is φ = 381696860160.

The previous prime is 1120002102091. The next prime is 1120002102103. The reversal of 1120002102100 is 12012000211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120002102103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213860682 + ... + 213865918.

It is an arithmetic number, because the mean of its divisors is an integer number (19404820512).

Almost surely, 21120002102100 is an apocalyptic number.

1120002102100 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 1120002102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397147076864).

1120002102100 is an abundant number, since it is smaller than the sum of its proper divisors (1674292051628).

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

1120002102100 is a wasteful number, since it uses less digits than its factorization.

1120002102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7034 (or 7027 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1120002102100 its reverse (12012000211), we get a palindrome (1132014102311).

The spelling of 1120002102100 in words is "one trillion, one hundred twenty billion, two million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 193 350 386 700 772 965 1351 1583 1930 2702 3166 3860 4825 5237 5404 6332 6755 7915 9650 10474 11081 13510 15830 19300 20948 22162 26185 27020 31660 33775 36659 39575 44324 52370 55405 67550 73318 79150 104740 110810 130925 135100 146636 158300 183295 221620 261850 277025 305519 366590 523700 554050 611038 733180 916475 1010741 1108100 1222076 1527595 1832950 2021482 2138633 3055190 3665900 4042964 4277266 5053705 6110380 7075187 7637975 8290171 8554532 10107410 10693165 14150374 15275950 16580342 20214820 21386330 25268525 28300748 30551900 33160684 35375935 41450855 42772660 50537050 53465825 58031197 70751870 82901710 101074100 106931650 116062394 141503740 165803420 176879675 207254275 213863300 232124788 290155985 353759350 414508550 580311970 707518700 829017100 1160623940 1450779925 1600003003 2901559850 3200006006 5803119700 6400012012 8000015015 11200021021 16000030030 22400042042 32000060060 40000075075 44800084084 56000105105 80000150150 112000210210 160000300300 224000420420 280000525525 560001051050 1120002102100