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101224240202040 = 23355411559215037
BaseRepresentation
bin10111000001000000011010…
…111000010100000100111000
3111021101221110100020111012220
4113001000122320110010320
5101231424220442431130
6555141435103004040
730215132015152254
oct2701003270240470
9437357410214186
10101224240202040
112a286a6075789a
12b429b29299620
13446353571ba67
141add3ca821264
15ba811c5e7410
hex5c101ae14138

101224240202040 has 64 divisors (see below), whose sum is σ = 304234038214560. Its totient is φ = 26943235822080.

The previous prime is 101224240201993. The next prime is 101224240202069. The reversal of 101224240202040 is 40202042422101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 101224240202040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 779542599 + ... + 779672438.

Almost surely, 2101224240202040 is an apocalyptic number.

101224240202040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101224240202040 is an abundant number, since it is smaller than the sum of its proper divisors (203009798012520).

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

101224240202040 is a wasteful number, since it uses less digits than its factorization.

101224240202040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559215592 (or 1559215588 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 101224240202040 its reverse (40202042422101), we get a palindrome (141426282624141).

The spelling of 101224240202040 in words is "one hundred one trillion, two hundred twenty-four billion, two hundred forty million, two hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 541 1082 1623 2164 2705 3246 4328 5410 6492 8115 10820 12984 16230 21640 32460 64920 1559215037 3118430074 4677645111 6236860148 7796075185 9355290222 12473720296 15592150370 18710580444 23388225555 31184300740 37421160888 46776451110 62368601480 93552902220 187105804440 843535335017 1687070670034 2530606005051 3374141340068 4217676675085 5061212010102 6748282680136 8435353350170 10122424020204 12653030025255 16870706700340 20244848040408 25306060050510 33741413400680 50612120101020 101224240202040