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100202023100 = 22522371613607
BaseRepresentation
bin101110101010010000…
…0011000100010111100
3100120122020210011211202
41131110200120202330
53120203204214400
6114010541035032
710145046100064
oct1352440304274
9316566704752
10100202023100
113954a480043
1217505555a78
1395ab62483a
144bc7c0c3a4
152916d434d5
hex17548188bc

100202023100 has 72 divisors (see below), whose sum is σ = 230088273408. Its totient is φ = 37798129600.

The previous prime is 100202023073. The next prime is 100202023121. The reversal of 100202023100 is 1320202001.

It is a happy number.

100202023100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1002020231002 (a number of 23 digits) contains 22 as substring.

It is a congruent 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, 143504 + ... + 470103.

It is an arithmetic number, because the mean of its divisors is an integer number (3195670464).

Almost surely, 2100202023100 is an apocalyptic number.

100202023100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202023100 is an abundant number, since it is smaller than the sum of its proper divisors (129886250308).

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

100202023100 is a wasteful number, since it uses less digits than its factorization.

100202023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613715 (or 613708 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 100202023100 its reverse (1320202001), we get a palindrome (101522225101).

The spelling of 100202023100 in words is "one hundred billion, two hundred two million, twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 71 92 100 115 142 230 284 355 460 575 710 1150 1420 1633 1775 2300 3266 3550 6532 7100 8165 16330 32660 40825 81650 163300 613607 1227214 2454428 3068035 6136070 12272140 14112961 15340175 28225922 30680350 43566097 56451844 61360700 70564805 87132194 141129610 174264388 217830485 282259220 352824025 435660970 705648050 871321940 1002020231 1089152425 1411296100 2004040462 2178304850 4008080924 4356609700 5010101155 10020202310 20040404620 25050505775 50101011550 100202023100